Pythagorean Identities

Pythagorean Identities

10th - 12th Grade

8 Qs

quiz-placeholder

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Pythagorean Identities

Pythagorean Identities

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Medium

CCSS
HSF.TF.C.8, HSA.APR.D.6, HSA.SSE.A.2

+2

Standards-aligned

Created by

Adam Hosler

Used 213+ times

FREE Resource

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 1cos2xsin2x\frac{1-\cos^2x}{\sin^2x}  

 sin2x\sin^2x  

 cos2x\cos^2x  

1

 sin2xsin2x\frac{\sin^2x}{\sin^2x}  

Tags

CCSS.HSF.TF.C.8

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 cot2x1sin2x\frac{\cot^2x}{1-\sin^2x}  

1

 cot2xcos2x\frac{\cot^2x}{\cos^2x}  

 1sin2x\frac{1}{\sin^2x}  

 csc2x\csc^2x  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 3(csc2xcot2x)3\left(\csc^2x-\cot^2x\right)  

0

1

2

3

Tags

CCSS.HSF.TF.C.8

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 sec2x1sin2x\frac{\sec^2x-1}{\sin^2x}  

 1cos2x\frac{1}{\cos^2x}  

 secx\sec x  

 sec2x\sec^2x  

 1cosx\frac{1}{\cos x}  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 cot2θ1+cot2θ\frac{\cot^2\theta}{1+\cot^2\theta}  

 cosθ\cos\theta  

 cos2θ\cos^2\theta  

1

 (cos2θsin2θ)(sin2θ1)\left(\frac{\cos^2\theta}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{1}\right)  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 1sin2x1cos2x\frac{1-\sin^2x}{1-\cos^2x}  

 cosxsinx\frac{\cos x}{\sin x}  

 cos2xsin2x\frac{\cos^2x}{\sin^2x}  

 tan2x\tan^2x  

 cot2x\cot^2x  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSF.TF.C.8

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 cos2x+sin2xsecx\frac{\cos^2x+\sin^2x}{\sec x}  

 1secx\frac{1}{\sec x}  

 sinx\sin x  

 cosx\cos x  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

8.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 sin2x+sinx+cos2x1\sin^2x+\sin x+\cos^2x-1  

 sinx\sin x  

2

0

Tags

CCSS.HSF.TF.C.8