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Easy Trigonometric Identities Quiz

Authored by Kristine Heines

Mathematics

10th Grade

CCSS covered

Used 4+ times

Easy Trigonometric Identities Quiz
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the Pythagorean identity?

sin⁡2θ+cos⁡2θ=1\sin^2 \theta + \cos^2 \theta = 1

tan⁡2θ+1=sec⁡2θ\tan^2 \theta + 1 = \sec^2 \theta

sin⁡θ=oppositehypotenuse\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}

cos⁡θ=adjacenthypotenuse\cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}

Tags

CCSS.HSF.TF.C.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal identity for sin⁡θ\sin \theta ?

csc⁡θ=1sin⁡θ\csc \theta = \frac{1}{\sin \theta}

sec⁡θ=1cos⁡θ\sec \theta = \frac{1}{\cos \theta}

cot⁡θ=1tan⁡θ\cot \theta = \frac{1}{\tan \theta}

tan⁡θ=sin⁡θcos⁡θ\tan \theta = \frac{\sin \theta}{\cos \theta}

Tags

CCSS.HSF.TF.A.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity represents tan⁡θ\tan \theta in terms of sine and cosine?

tan⁡θ=cos⁡θsin⁡θ\tan \theta = \frac{\cos \theta}{\sin \theta}

tan⁡θ=sin⁡θ⋅cos⁡θ\tan \theta = \sin \theta \cdot \cos \theta

tan⁡θ=sin⁡θcos⁡θ\tan \theta = \frac{\sin \theta}{\cos \theta}

tan⁡θ=sin⁡2θ+cos⁡2θ\tan \theta = \sin^2 \theta + \cos^2 \theta

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the identity for sec⁡θ\sec \theta ?

sec⁡θ=1sin⁡θ\sec \theta = \frac{1}{\sin \theta}

sec⁡θ=1cos⁡θ\sec \theta = \frac{1}{\cos \theta}

sec⁡θ=1tan⁡θ\sec \theta = \frac{1}{\tan \theta}

sec⁡θ=sin⁡θ⋅cos⁡θ\sec \theta = \sin \theta \cdot \cos \theta

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the identity for cot⁡θ\cot \theta in terms of sine and cosine?

cot⁡θ=sin⁡θcos⁡θ\cot \theta = \frac{\sin \theta}{\cos \theta}

cot⁡θ=cos⁡θsin⁡θ\cot \theta = \frac{\cos \theta}{\sin \theta}

cot⁡θ=sin⁡θ⋅cos⁡θ\cot \theta = \sin \theta \cdot \cos \theta

cot⁡θ=1tan⁡θ\cot \theta = \frac{1}{\tan \theta}

Tags

CCSS.HSF.TF.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to express csc⁡θ\csc \theta ?

csc⁡θ=1sin⁡θ\csc \theta = \frac{1}{\sin \theta}

csc⁡θ=1cos⁡θ\csc \theta = \frac{1}{\cos \theta}

csc⁡θ=1tan⁡θ\csc \theta = \frac{1}{\tan \theta}

csc⁡θ=sin⁡θ⋅cos⁡θ\csc \theta = \sin \theta \cdot \cos \theta

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a Pythagorean identity?

1+tan⁡2θ=sec⁡2θ1 + \tan^2 \theta = \sec^2 \theta

1+cot⁡2θ=csc⁡2θ1 + \cot^2 \theta = \csc^2 \theta

sin⁡2θ+cos⁡2θ=1\sin^2 \theta + \cos^2 \theta = 1

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