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Trigonometric Identity

Authored by Mahmoud Mostafa

Mathematics

11th Grade

CCSS covered

Used 61+ times

Trigonometric Identity
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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify:  cot⁡xsin⁡xsec⁡2x\cot x\sin x\sec^2x 

 cos⁡x\cos x  

 tan⁡x\tan x  

 csc⁡x\csc x  

 sec⁡x\sec x  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following is false?

sin⁡(−x)=−sin⁡(x)\sin\left(-x\right)=-\sin\left(x\right)

cos⁡(−x)=−cos⁡(x)\cos\left(-x\right)=-\cos\left(x\right)

tan⁡(−x)=−tan⁡(x)\tan\left(-x\right)=-\tan\left(x\right)

cot⁡(−x)=−cot⁡(x)\cot\left(-x\right)=-\cot\left(x\right)

Tags

CCSS.HSF.TF.A.4

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify:  sin⁡2x1+cos⁡x−1\frac{\sin^2x}{1+\cos x}-1 

 1−cos⁡xsin⁡x\frac{1-\cos x}{\sin x}  

 00  

 −cos⁡x-\cos x  

 csc⁡x−1\csc x-1  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify:  (cos⁡x−sin⁡x)2\left(\cos x-\sin x\right)^2 

 11  

 cos⁡2x\cos2x  

 cos⁡2x+sin⁡2x\cos2x+\sin2x  

 1−sin⁡2x1-\sin2x  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

*

csc2 x
cot2 x
sin2 x
sec2 x

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is csc(x) equivalent to?

1/sin(x)
1/tan(x)
sin(x)
1/cos(x)

Tags

CCSS.HSF.TF.A.4

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Please select the correct solution 
cos 2 x + sin 2 x=  

1
csc 2 x + sec 2 x
sin 2 x
1 - sin 2 x

Tags

CCSS.HSF.TF.C.8

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