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Trig Identities

Authored by English Casbarro

Mathematics

12th Grade

CCSS covered

Used 622+ times

Trig Identities
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 tan⁡θ =\tan\theta\ =  

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

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

 1cos⁡θ\frac{1}{\cos\theta}  

 cot⁡θ\cot\theta  

Tags

CCSS.HSF.TF.A.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

 Solve  for  cos⁡2θ\cos^2\theta  .

 cot⁡2θ+1\cot^2\theta+1  

 sec⁡2θ−1\sec^2\theta-1  

 tan⁡θ+1\tan\theta+1  

 1−sin⁡2θ1-\sin^2\theta  

Tags

CCSS.HSF.TF.C.8

CCSS.HSA.CED.A.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 tan⁡θcos⁡θ\tan\theta\cos\theta  can be written in a single trigonometric identity as: 

 cos⁡θ\cos\theta  

 sin⁡θ\sin\theta  

 sec⁡θ\sec\theta  

 cot⁡θ\cot\theta  

Tags

CCSS.HSF.TF.C.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 1−cos⁡2θcos⁡2θ\frac{1-\cos^2\theta}{\cos^2\theta}  can be written in a single trigonometric identity as: 

 cos⁡2θ\cos^2\theta  

 sin⁡2θ\sin^2\theta  

 sec⁡2θ\sec^2\theta  

 tan⁡2θ\tan^2\theta  

Tags

CCSS.HSF.TF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 cos⁡θ csc⁡θ\cos\theta\ \csc\theta  can be written in a single trigonometric identity as: 

 cos⁡θ\cos\theta  

 sin⁡θ\sin\theta  

 sec⁡θ\sec\theta  

 cot⁡θ\cot\theta  

Tags

CCSS.HSF.TF.C.8

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify

  cot⁡2θ(1+tan⁡2θ)\cot^2\theta\left(1+\tan^2\theta\right)  

csc²θ

sec²θ

cscθ

1

Tags

CCSS.HSF.TF.C.8

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify

 sin⁡θ(csc⁡θ−sin⁡θ)\sin\theta\left(\csc\theta-\sin\theta\right)  

 sec⁡θ\sec\theta  


 cos⁡2θ\cos^2\theta  

 sin⁡2θ\sin^2\theta  

 sin⁡2θcos⁡2θ\frac{\sin^2\theta}{\cos^2\theta}  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

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