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10.05 Trigonometric identities

Adaptive
Worksheet

Interactive practice questions

Which of the following options correctly completes the identity?

$\tan z=\editable{}$tanz=

$\cot z$cotz

A

$\frac{\cos z}{\sin z}$coszsinz

B

$\frac{\sin z}{\cos z}$sinzcosz

C

$\frac{1}{\cot x}$1cotx

D
Medium
< 1min

Which of the following options correctly completes the identity?

$\frac{\cos x}{\sin x}=\editable{}$cosxsinx=

Medium
< 1min

Given that $\sin x=\frac{4}{5}$sinx=45 and $\cos x=\frac{3}{5}$cosx=35, find $\tan x$tanx.

Medium
< 1min

Given that $\cos x=\frac{15}{17}$cosx=1517 and $\tan x=\frac{8}{15}$tanx=815, find $\sin x$sinx.

Medium
1min
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Outcomes

F.TF.C.8

Prove the Pythagorean identity sin^2(θ) cos^2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.

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