Trigonometric Identities Quiz

Authored by Margarita Mantilla

Mathematics

10th Grade - University

CCSS covered

Used 55+ times

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10 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is NOT a valid trigonometric identity?

$\csc\theta=\frac{\sec\theta}{\tan\theta}$

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

$\csc\theta=\cot\theta\cdot\sec\theta$

$\csc\theta=\sec\left(90\degree-\theta\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is NOT a valid trigonometric identity

$1\ =\cos\theta\cdot\sec\theta$

$1\ =\ \sin^2\theta+\cos^2\theta$

$1\ =\ \tan\theta\cdot\cot\theta$

$1=\csc^2\theta+\cot^2\theta$

Tags

CCSS.HSF.TF.C.8

MULTIPLE SELECT QUESTION

1 min • 1 pt

Mark the box on all the wrong reciprocals

$\tan\theta=\frac{1}{\cot\theta}$

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

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

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

$\csc\theta=\frac{1}{\cot\theta}$

Tags

CCSS.HSF.TF.A.4

FILL IN THE BLANKS QUESTION

45 sec • 1 pt

The equation
$\sin^2\theta+\cos^2\theta=1$ is an example of what kind of trigonometric identity? (One word answer only)

(a)

OPEN ENDED QUESTION

2 mins • Ungraded

Explain the meaning of SOHCAHTOA in 3 sentences

Evaluate responses using AI:

OFF

Tags

CCSS.HSG.SRT.C.8

OPEN ENDED QUESTION

5 mins • Ungraded

Express the following in terms of sine only: $\cos\theta\cdot\csc\theta\cdot\cot\theta$

Evaluate responses using AI:

OFF

OPEN ENDED QUESTION

5 mins • Ungraded

Express in terms of cotangent only: $\frac{1-\tan\theta}{1+\tan\theta}$

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.TF.C.8

OPEN ENDED QUESTION

5 mins • Ungraded

Express in terms of sine only: $\frac{\cos\theta}{\sec\theta+\tan\theta}$

Evaluate responses using AI:

OFF

OPEN ENDED QUESTION

5 mins • Ungraded

Prove that: $\frac{1+\cos\theta}{\cos\theta}=1+\sec\theta$

Evaluate responses using AI:

OFF

10.

OPEN ENDED QUESTION

5 mins • Ungraded

Prove that: $\cos\theta+\tan\theta\cdot\sin\theta=\sec\theta$

Evaluate responses using AI:

OFF

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Trigonometric Identities

Which of the following is NOT a valid trigonometric identity?

Which of the following is NOT a valid trigonometric identity

Mark the box on all the wrong reciprocals

The equation sin⁡2θ+cos⁡2θ=1\sin^2\theta+\cos^2\theta=1sin2θ+cos2θ=1 is an example of what kind of trigonometric identity? (One word answer only) (a)

Explain the meaning of SOHCAHTOA in 3 sentences

Express the following in terms of sine only: cos⁡θ⋅csc⁡θ⋅cot⁡θ\cos\theta\cdot\csc\theta\cdot\cot\thetacosθ⋅cscθ⋅cotθ

Express in terms of cotangent only: 1−tan⁡θ1+tan⁡θ\frac{1-\tan\theta}{1+\tan\theta}1+tanθ1−tanθ​

Express in terms of sine only: cos⁡θsec⁡θ+tan⁡θ\frac{\cos\theta}{\sec\theta+\tan\theta}secθ+tanθcosθ​

Prove that: 1+cos⁡θcos⁡θ=1+sec⁡θ\frac{1+\cos\theta}{\cos\theta}=1+\sec\thetacosθ1+cosθ​=1+secθ

Prove that: cos⁡θ+tan⁡θ⋅sin⁡θ=sec⁡θ\cos\theta+\tan\theta\cdot\sin\theta=\sec\thetacosθ+tanθ⋅sinθ=secθ

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Discover more resources for Mathematics

The equation
$\sin^2\theta+\cos^2\theta=1$ is an example of what kind of trigonometric identity? (One word answer only)

(a)

Express the following in terms of sine only: $\cos\theta\cdot\csc\theta\cdot\cot\theta$

Express in terms of cotangent only: $\frac{1-\tan\theta}{1+\tan\theta}$

Express in terms of sine only: $\frac{\cos\theta}{\sec\theta+\tan\theta}$

Prove that: $\frac{1+\cos\theta}{\cos\theta}=1+\sec\theta$

Prove that: $\cos\theta+\tan\theta\cdot\sin\theta=\sec\theta$