Trigonometric Identities

Trigonometric Identities

10th Grade - University

10 Qs

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Trigonometric Identities

Trigonometric Identities

Assessment

Quiz

Mathematics

10th Grade - University

Practice Problem

Medium

CCSS
HSF.TF.C.8

Standards-aligned

Created by

Margarita Mantilla

Used 54+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is NOT a valid trigonometric identity?

cscθ=secθtanθ\csc\theta=\frac{\sec\theta}{\tan\theta}

cscθ=1cosθ\csc\theta=\frac{1}{\cos\theta}

cscθ=cotθsecθ\csc\theta=\cot\theta\cdot\sec\theta

cscθ=sec(90°θ)\csc\theta=\sec\left(90\degree-\theta\right)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is NOT a valid trigonometric identity

1 =cosθsecθ1\ =\cos\theta\cdot\sec\theta

1 = sin2θ+cos2θ1\ =\ \sin^2\theta+\cos^2\theta

1 = tanθcotθ1\ =\ \tan\theta\cdot\cot\theta

1=csc2θ+cot2θ1=\csc^2\theta+\cot^2\theta

Tags

CCSS.HSF.TF.C.8

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Mark the box on all the wrong reciprocals

tanθ=1cotθ\tan\theta=\frac{1}{\cot\theta}

sinθ=1secθ\sin\theta=\frac{1}{\sec\theta}

cosθ=1cscθ\cos\theta=\frac{1}{\csc\theta}

cotθ=1sinθ\cot\theta=\frac{1}{\sin\theta}

cscθ=1cotθ\csc\theta=\frac{1}{\cot\theta}

4.

FILL IN THE BLANK QUESTION

45 sec • 1 pt

The equation

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

5.

OPEN ENDED QUESTION

2 mins • Ungraded

Explain the meaning of SOHCAHTOA in 3 sentences

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6.

OPEN ENDED QUESTION

5 mins • Ungraded

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

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7.

OPEN ENDED QUESTION

5 mins • Ungraded

Express in terms of cotangent only: 1tanθ1+tanθ\frac{1-\tan\theta}{1+\tan\theta}  

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