Trig Identities: Pythagorean, Sum/Diff, Double, Half-Angle

Trig Identities: Pythagorean, Sum/Diff, Double, Half-Angle

11th - 12th Grade

13 Qs

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Trig Identities: Pythagorean, Sum/Diff, Double, Half-Angle

Trig Identities: Pythagorean, Sum/Diff, Double, Half-Angle

Assessment

Quiz

Mathematics

11th - 12th Grade

Hard

CCSS
HSF.TF.C.9, HSF.TF.A.4

Standards-aligned

Created by

Janet Beutel

Used 20+ times

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

sin(x) =

1cos x\frac{1}{\cos\ x}

1csc x\frac{1}{\csc\ x}

1sec x\frac{1}{\sec\ x}

csc x\csc\ x

Tags

CCSS.HSF.TF.A.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 1cos2x 1-\cos^2x\   

 tan2x\tan^2x  

 cos 2x\cos\ 2x  

 sin2x\sin^2x  

 sin 2x\sin\ 2x  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 sin(x3π2) = \sin\left(x-\frac{3\pi}{2}\right)\ =\   

cos x

sin x

sin 2x

sinx cosx

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 cos(x+π)= \cos\left(x+\pi\right)=\   

sin x

cos x

-sin x

-cos x

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the follow is NOT a way to simplify the following: tan2x tan2xcsc2x\tan^2x\ -\tan^2x\csc^2x  

 tan2x(1csc22x)\tan^2x\left(1-\csc^22x\right)  

 sin2xcos2x sin2xcos2x1sin2x\frac{\sin^2x}{\cos^2x}-\ \frac{\sin^2x}{\cos^2x}\cdot\frac{1}{\sin^2x}  

 (tanxcscx)(tanx+cscx)\left(\tan x-\csc x\right)\cdot\left(\tan x+\csc x\right)  

 tan2x(cot2x)\tan^2x\left(\cot^2x\right)  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT equivalent to 2cos2xtan2x\frac{2\cos^2x}{\tan^2x}  

 (22sin2x)(1cot2x)\left(2-2\sin^2x\right)\left(\frac{1}{\cot^2x}\right)  

 (2cos2x)(sin2xcos2x)\left(2\cos^2x\right)\left(\frac{\sin^2x}{\cos^2x}\right)  

 sin22x(cot2x)\sin^22x\left(\cot^2x\right)  

 2cos2xsec2x1\frac{2\cos^2x}{\sec^2x-1}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is Not equivalent to: 2cos2x12\cos^2x-1  


 sin2x\sin^2x  

 2cos2x(sin2x+cos2x)2\cos^2x-\left(\sin^2x+\cos^2x\right)  

 cos2xsin2x\cos^2x-\sin^2x  

 sin22x\sin^22x  

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