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An isosceles right triangle has legs of length 8. Find the hypotenuse (exact).
In a 30-60-90 triangle the shortest side is 10. Find the longer leg (exact).
In a 30-60-90 triangle the hypotenuse is 6. Find the side opposite the $30^\circ$ angle.
A right triangle has legs 12 and 16 and hypotenuse 20. Angle $A$ is opposite the leg 12. Find $\sin A$ .
Same kind of triangle: legs 15 and 36, hypotenuse 39. Angle $B$ is opposite the leg 36. Find $\tan B$ .
In a right triangle with acute angle $21^\circ$ , which ratio is $\cos 21^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $31^\circ$ , which ratio is $\cos 31^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $44^\circ$ , which ratio is $\cos 44^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $20^\circ$ , which ratio is $\cos 20^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $26^\circ$ , which ratio is $\cos 26^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $51^\circ$ , which ratio is $\cos 51^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $29^\circ$ , which ratio is $\cos 29^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $25^\circ$ , which ratio is $\cos 25^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $65^\circ$ , which ratio is $\cos 65^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $47^\circ$ , which ratio is $\cos 47^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $49^\circ$ , which ratio is $\cos 49^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $66^\circ$ , which ratio is $\cos 66^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $34^\circ$ , which ratio is $\cos 34^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $42^\circ$ , which ratio is $\cos 42^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $46^\circ$ , which ratio is $\cos 46^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $30^\circ$ , which ratio is $\cos 30^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $67^\circ$ , which ratio is $\cos 67^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $35^\circ$ , which ratio is $\cos 35^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $59^\circ$ , which ratio is $\cos 59^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $68^\circ$ , which ratio is $\cos 68^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $37^\circ$ , which ratio is $\cos 37^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $55^\circ$ , which ratio is $\cos 55^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $27^\circ$ , which ratio is $\cos 27^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $60^\circ$ , which ratio is $\cos 60^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $63^\circ$ , which ratio is $\cos 63^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $33^\circ$ , which ratio is $\cos 33^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $64^\circ$ , which ratio is $\cos 64^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $58^\circ$ , which ratio is $\cos 58^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $41^\circ$ , which ratio is $\cos 41^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $45^\circ$ , which ratio is $\cos 45^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $36^\circ$ , which ratio is $\cos 36^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $57^\circ$ , which ratio is $\cos 57^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $70^\circ$ , which ratio is $\cos 70^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $62^\circ$ , which ratio is $\cos 62^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $56^\circ$ , which ratio is $\cos 56^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $54^\circ$ , which ratio is $\cos 54^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $52^\circ$ , which ratio is $\cos 52^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $22^\circ$ , which ratio is $\cos 22^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $53^\circ$ , which ratio is $\cos 53^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $23^\circ$ , which ratio is $\cos 23^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $24^\circ$ , which ratio is $\cos 24^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $50^\circ$ , which ratio is $\cos 50^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $39^\circ$ , which ratio is $\cos 39^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $43^\circ$ , which ratio is $\cos 43^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $61^\circ$ , which ratio is $\cos 61^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $69^\circ$ , which ratio is $\cos 69^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $48^\circ$ , which ratio is $\cos 48^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $38^\circ$ , which ratio is $\cos 38^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $32^\circ$ , which ratio is $\cos 32^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
In a right triangle with acute angle $28^\circ$ , which ratio is $\cos 28^\circ$ ?
1. adjacent ÷ hypotenuse
2. opposite ÷ hypotenuse
3. opposite ÷ adjacent
A right triangle has hypotenuse 14 and an acute angle $43^\circ$ . Find the side opposite that angle (to 2 decimal places).
A ramp rises at $55^\circ$ over a horizontal distance of 15 m. How high does it rise? (2 decimal places)
The side opposite a $40^\circ$ angle in a right triangle is 4. Find the hypotenuse (2 decimal places).
A right triangle has legs 10 (opposite angle $A$ ) and 12 (adjacent). Find angle $A$ in degrees (1 decimal place).
In a right triangle the side opposite angle $A$ is 5 and the hypotenuse is 15. Find $A$ in degrees (1 decimal place).
What does $\sin^{-1}(0.7)$ mean?
1. The angle whose sine is 0.7
2. $\dfrac{1}{\sin 0.7}$
3. $-\sin(0.7)$
What does $\sin^{-1}(0.6)$ mean?
1. The angle whose sine is 0.6
2. $\dfrac{1}{\sin 0.6}$
3. $-\sin(0.6)$
What does $\sin^{-1}(0.8)$ mean?
1. The angle whose sine is 0.8
2. $\dfrac{1}{\sin 0.8}$
3. $-\sin(0.8)$
What does $\sin^{-1}(0.9)$ mean?
1. The angle whose sine is 0.9
2. $\dfrac{1}{\sin 0.9}$
3. $-\sin(0.9)$
What does $\sin^{-1}(0.2)$ mean?
1. The angle whose sine is 0.2
2. $\dfrac{1}{\sin 0.2}$
3. $-\sin(0.2)$
What does $\sin^{-1}(0.3)$ mean?
1. The angle whose sine is 0.3
2. $\dfrac{1}{\sin 0.3}$
3. $-\sin(0.3)$
What does $\sin^{-1}(0.4)$ mean?
1. The angle whose sine is 0.4
2. $\dfrac{1}{\sin 0.4}$
3. $-\sin(0.4)$
What does $\sin^{-1}(0.5)$ mean?
1. The angle whose sine is 0.5
2. $\dfrac{1}{\sin 0.5}$
3. $-\sin(0.5)$
Find the angle $y$ between $0^\circ$ and $90^\circ$ with $\sin 21^\circ = \cos y^\circ$ (degrees).
In a right triangle, $\sin A = \dfrac{ 3 }{ 10 }$ . Find $\cos B$ , where $B$ is the other acute angle.
Why is $\sin 65^\circ = \cos 25^\circ$ ?
1. In one right triangle, the side opposite the $65^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 60^\circ = \cos 30^\circ$ ?
1. In one right triangle, the side opposite the $60^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 71^\circ = \cos 19^\circ$ ?
1. In one right triangle, the side opposite the $71^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 30^\circ = \cos 60^\circ$ ?
1. In one right triangle, the side opposite the $30^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 16^\circ = \cos 74^\circ$ ?
1. In one right triangle, the side opposite the $16^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 35^\circ = \cos 55^\circ$ ?
1. In one right triangle, the side opposite the $35^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 55^\circ = \cos 35^\circ$ ?
1. In one right triangle, the side opposite the $55^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 22^\circ = \cos 68^\circ$ ?
1. In one right triangle, the side opposite the $22^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 21^\circ = \cos 69^\circ$ ?
1. In one right triangle, the side opposite the $21^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 44^\circ = \cos 46^\circ$ ?
1. In one right triangle, the side opposite the $44^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 41^\circ = \cos 49^\circ$ ?
1. In one right triangle, the side opposite the $41^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 79^\circ = \cos 11^\circ$ ?
1. In one right triangle, the side opposite the $79^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 64^\circ = \cos 26^\circ$ ?
1. In one right triangle, the side opposite the $64^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 27^\circ = \cos 63^\circ$ ?
1. In one right triangle, the side opposite the $27^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 15^\circ = \cos 75^\circ$ ?
1. In one right triangle, the side opposite the $15^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 53^\circ = \cos 37^\circ$ ?
1. In one right triangle, the side opposite the $53^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 68^\circ = \cos 22^\circ$ ?
1. In one right triangle, the side opposite the $68^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 45^\circ = \cos 45^\circ$ ?
1. In one right triangle, the side opposite the $45^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 11^\circ = \cos 79^\circ$ ?
1. In one right triangle, the side opposite the $11^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 73^\circ = \cos 17^\circ$ ?
1. In one right triangle, the side opposite the $73^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 10^\circ = \cos 80^\circ$ ?
1. In one right triangle, the side opposite the $10^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 20^\circ = \cos 70^\circ$ ?
1. In one right triangle, the side opposite the $20^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 36^\circ = \cos 54^\circ$ ?
1. In one right triangle, the side opposite the $36^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 19^\circ = \cos 71^\circ$ ?
1. In one right triangle, the side opposite the $19^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 62^\circ = \cos 28^\circ$ ?
1. In one right triangle, the side opposite the $62^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 13^\circ = \cos 77^\circ$ ?
1. In one right triangle, the side opposite the $13^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 59^\circ = \cos 31^\circ$ ?
1. In one right triangle, the side opposite the $59^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 42^\circ = \cos 48^\circ$ ?
1. In one right triangle, the side opposite the $42^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 40^\circ = \cos 50^\circ$ ?
1. In one right triangle, the side opposite the $40^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 52^\circ = \cos 38^\circ$ ?
1. In one right triangle, the side opposite the $52^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 34^\circ = \cos 56^\circ$ ?
1. In one right triangle, the side opposite the $34^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 77^\circ = \cos 13^\circ$ ?
1. In one right triangle, the side opposite the $77^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 38^\circ = \cos 52^\circ$ ?
1. In one right triangle, the side opposite the $38^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 47^\circ = \cos 43^\circ$ ?
1. In one right triangle, the side opposite the $47^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 46^\circ = \cos 44^\circ$ ?
1. In one right triangle, the side opposite the $46^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 29^\circ = \cos 61^\circ$ ?
1. In one right triangle, the side opposite the $29^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 67^\circ = \cos 23^\circ$ ?
1. In one right triangle, the side opposite the $67^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 17^\circ = \cos 73^\circ$ ?
1. In one right triangle, the side opposite the $17^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 61^\circ = \cos 29^\circ$ ?
1. In one right triangle, the side opposite the $61^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 31^\circ = \cos 59^\circ$ ?
1. In one right triangle, the side opposite the $31^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 72^\circ = \cos 18^\circ$ ?
1. In one right triangle, the side opposite the $72^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 33^\circ = \cos 57^\circ$ ?
1. In one right triangle, the side opposite the $33^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 76^\circ = \cos 14^\circ$ ?
1. In one right triangle, the side opposite the $76^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 39^\circ = \cos 51^\circ$ ?
1. In one right triangle, the side opposite the $39^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 12^\circ = \cos 78^\circ$ ?
1. In one right triangle, the side opposite the $12^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 43^\circ = \cos 47^\circ$ ?
1. In one right triangle, the side opposite the $43^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 78^\circ = \cos 12^\circ$ ?
1. In one right triangle, the side opposite the $78^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 50^\circ = \cos 40^\circ$ ?
1. In one right triangle, the side opposite the $50^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 51^\circ = \cos 39^\circ$ ?
1. In one right triangle, the side opposite the $51^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
Why is $\sin 23^\circ = \cos 67^\circ$ ?
1. In one right triangle, the side opposite the $23^\circ$ angle is adjacent to the other acute angle
2. Because sin and cos always add to 1
3. Because sin and cos are the same function
$\sin\theta = \frac{1}{5}$ and $\theta$ is in quadrant II. Find the exact value of $\cos\theta$ .
Which expression is equal to $\dfrac{1 - \cos^2 x}{\sin x}$ (where $\sin x \ne 0$ )?
1. $\sin x$
2. $\cos x$
3. $1 - \cos x$
Which equation is true for every $x$ ?
1. $\sin^2 x + \cos^2 x = 1$
2. $\sin x + \cos x = 1$
3. $\sin^2 x - \cos^2 x = 1$
4. $\tan x = \dfrac{\cos x}{\sin x}$

Answers

$8 \sqrt{2}$
$10 \sqrt{3}$
$3$
$\frac{3}{5}$
$\frac{12}{5}$
adjacent ÷ hypotenuse
$14 \sin{\left(\frac{43 \pi}{180} \right)}$
$15 \tan{\left(\frac{11 \pi}{36} \right)}$
$\frac{4}{\sin{\left(\frac{2 \pi}{9} \right)}}$
$\frac{180 \tan^{-1}{\left(\frac{5}{6} \right)}}{\pi}$
$\frac{180 \sin^{-1}{\left(\frac{1}{3} \right)}}{\pi}$
The angle whose sine is 0.7
$69$
$\frac{3}{10}$
In one right triangle, the side opposite the $65^\circ$ angle is adjacent to the other acute angle
$- \frac{2 \sqrt{6}}{5}$
$\sin x$
$\sin^2 x + \cos^2 x = 1$