Trig Identities Quiz

Authored by Kathleen Devlin

Mathematics

11th Grade

CCSS covered

Used 72+ times

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16 questions

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MULTIPLE CHOICE QUESTION

10 mins • 1 pt

sin x =

cos x

1/cosx

1/secx

1/cscx

Tags

CCSS.HSF.TF.A.4

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

cos x =

sin x

sin²x-1

1/sec x

1/csc x

Tags

CCSS.HSF.TF.C.8

MULTIPLE SELECT QUESTION

10 mins • 1 pt

tan x =

sinx/cos x

cosx/sinx

1/cotx

sec²x

Tags

CCSS.HSF.TF.C.8

MULTIPLE SELECT QUESTION

10 mins • 1 pt

cotx =

sinx/cosx

cosx/sinx

1/tanx

1/cotx

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

sin²x + cos²x =

1/sinx

sec²x

csc²x

Tags

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

1 - sin²x =

cos²x

cos²x+1

csc²x

tan²x

Tags

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Write as a single trig function of a single angle.
$2\sin\frac{\pi}{5}\cos\frac{\pi}{5}$

$\sin\frac{\pi}{10}$

$\sin\frac{2\pi}{5}$

$\cos\frac{2\pi}{5}$

$\cos\frac{\pi}{10}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

$\sin x=\frac{12}{13}\ \ and\ \ \frac{\pi}{2}<x<\pi$

Find the exact value of $\sin2x$ .

$-\frac{120}{169}$

$\frac{120}{169}$

$-\frac{119}{169}$

$\frac{120}{119}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

$\cos\theta=\frac{4}{5}\ \ and\ \ \frac{3\pi}{2}<\theta<2\pi$

Find the exact value of $\sin2\theta$ .

$-\frac{1}{5}$

$\frac{24}{25}$

$-\frac{24}{25}$

$-\frac{25}{24}$

Tags

CCSS.HSF.TF.C.9

10.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

$\cos\theta=\frac{4}{5}\ \ and\ \ \frac{3\pi}{2}<\theta<2\pi$

Find the exact value of $\cos2\theta$ .

$-\frac{1}{5}$

$\frac{7}{25}$

$-\frac{7}{25}$

$-\frac{25}{7}$

Tags

CCSS.HSF.TF.C.9

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Trig Identities

sin x =

cos x =

tan x =

cotx =

sin2x + cos2x =

1 - sin2x =

Write as a single trig function of a single angle. 2sin⁡π5cos⁡π52\sin\frac{\pi}{5}\cos\frac{\pi}{5}2sin5π​cos5π​

sin⁡x=1213 and π2<x<π\sin x=\frac{12}{13}\ \ and\ \ \frac{\pi}{2}<x<\pisinx=1312​ and 2π​<x<π Find the exact value of sin⁡2x\sin2xsin2x .

cos⁡θ=45 and 3π2<θ<2π\cos\theta=\frac{4}{5}\ \ and\ \ \frac{3\pi}{2}<\theta<2\picosθ=54​ and 23π​<θ<2π Find the exact value of sin⁡2θ\sin2\thetasin2θ .

cos⁡θ=45 and 3π2<θ<2π\cos\theta=\frac{4}{5}\ \ and\ \ \frac{3\pi}{2}<\theta<2\picosθ=54​ and 23π​<θ<2π Find the exact value of cos⁡2θ\cos2\thetacos2θ .

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sin²x + cos²x =

1 - sin²x =

Write as a single trig function of a single angle.
$2\sin\frac{\pi}{5}\cos\frac{\pi}{5}$

$\sin x=\frac{12}{13}\ \ and\ \ \frac{\pi}{2}<x<\pi$

Find the exact value of $\sin2x$ .

$\cos\theta=\frac{4}{5}\ \ and\ \ \frac{3\pi}{2}<\theta<2\pi$

Find the exact value of $\sin2\theta$ .

$\cos\theta=\frac{4}{5}\ \ and\ \ \frac{3\pi}{2}<\theta<2\pi$

Find the exact value of $\cos2\theta$ .