Introductory Trigonometric Identities Quiz

Authored by Jesse Casares

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

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5 questions

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MULTIPLE SELECT QUESTION

2 mins • 1 pt

Simplify the trigonometric expression. Select all that apply.

$\tan\theta\cdot\csc\theta$

$\frac{1}{\cos\theta}$

$\sec\theta$

$\frac{1}{\sin\theta}$

$\csc\theta$

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Simplify the trigonometric expression. Select all that apply.

$\cot\theta\cdot\sec\theta$

$\frac{1}{\cos\theta}$

$\sec\theta$

$\frac{1}{\sin\theta}$

$\csc\theta$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

True or False
$\sin^2\theta=1-\cos^2\theta$

True

False

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

True or False
$\sin\left(-\theta\right)+\cos\left(-\theta\right)=\cos\theta-\sin\theta$

True

False

Simplify the following trigonometric expression.

$\tan^2\theta-\sec^2\theta$

(a)

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Introductory Trigonometric Identities

Simplify the trigonometric expression. Select all that apply. tan⁡θ⋅csc⁡θ\tan\theta\cdot\csc\thetatanθ⋅cscθ

Simplify the trigonometric expression. Select all that apply. cot⁡θ⋅sec⁡θ\cot\theta\cdot\sec\thetacotθ⋅secθ

True or False sin⁡2θ=1−cos⁡2θ\sin^2\theta=1-\cos^2\thetasin2θ=1−cos2θ

True or False sin⁡(−θ)+cos⁡(−θ)=cos⁡θ−sin⁡θ\sin\left(-\theta\right)+\cos\left(-\theta\right)=\cos\theta-\sin\thetasin(−θ)+cos(−θ)=cosθ−sinθ

Simplify the following trigonometric expression. tan⁡2θ−sec⁡2θ\tan^2\theta-\sec^2\thetatan2θ−sec2θ (a)

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Simplify the trigonometric expression. Select all that apply.

$\tan\theta\cdot\csc\theta$

Simplify the trigonometric expression. Select all that apply.

$\cot\theta\cdot\sec\theta$

True or False
$\sin^2\theta=1-\cos^2\theta$

True or False
$\sin\left(-\theta\right)+\cos\left(-\theta\right)=\cos\theta-\sin\theta$

Simplify the following trigonometric expression.

$\tan^2\theta-\sec^2\theta$

(a)