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C10: Pythagorean Identities Mastery Check

Authored by Leah Leonard

Mathematics

12th Grade

CCSS covered

Used 8+ times

C10: Pythagorean Identities Mastery Check
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24 questions

Show all answers

1.

LABELING QUESTION

1 min • 1 pt

Label the Trig Identity Type with the corresponding examples

c
b
a
Quotient Identities
Sum & Difference Identities
Reciprocal Identities
Pythagorean Identities

2.

DRAG AND DROP QUESTION

1 min • 1 pt

Drag & Drop to form a Pythagorean Identity ​ ​ (a)   + (b)   = 1

sin⁡2x\sin^2x  

cos⁡2x\cos^2x  

sec⁡2x\sec^2x  

tan⁡2x\tan^2x  

cot⁡2x\cot^2x  

csc⁡2x\csc^2x  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 1−cos⁡2xsin⁡2x\frac{1-\cos^2x}{\sin^2x}  

 sin⁡2x\sin^2x  

 cos⁡2x\cos^2x  

1

 sin⁡2xsin⁡2x\frac{\sin^2x}{\sin^2x}  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 cot⁡2x1−sin⁡2x\frac{\cot^2x}{1-\sin^2x}  

1

 cot⁡2xcos⁡2x\frac{\cot^2x}{\cos^2x}  

 1sin⁡2x\frac{1}{\sin^2x}  

 csc⁡2x\csc^2x  

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

0

1

2

3

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 sec⁡2x−1sin⁡2x\frac{\sec^2x-1}{\sin^2x}  

 1cos⁡2x\frac{1}{\cos^2x}  

 sec⁡x\sec x  

 sec⁡2x\sec^2x  

 1cos⁡x\frac{1}{\cos x}  

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select the MOST SIMPLIFIED answer for the problem:

 cot⁡2θ1+cot⁡2θ\frac{\cot^2\theta}{1+\cot^2\theta}  

 cos⁡θ\cos\theta  

 cos⁡2θ\cos^2\theta  

1

 (cos⁡2θsin⁡2θ)(sin⁡2θ1)\left(\frac{\cos^2\theta}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{1}\right)  

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