C10: Pythagorean Identities Mastery Check

Label the Trig Identity Type with the corresponding examples

c

b

a

Pythagorean Identities

Sum & Difference Identities

Reciprocal Identities

Quotient Identities

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

Select the MOST SIMPLIFIED answer for the problem:

 $\frac{1-\cos^2x}{\sin^2x}$  

•  $\sin^2x$  

•  $\cos^2x$  

• 1

•  $\frac{\sin^2x}{\sin^2x}$  

Select the MOST SIMPLIFIED answer for the problem:

 $\frac{\cot^2x}{1-\sin^2x}$  

• 1

•  $\frac{\cot^2x}{\cos^2x}$  

•  $\frac{1}{\sin^2x}$  

•  $\csc^2x$  

 $3\left(\csc^2x-\cot^2x\right)$  

• 0

• 1

• 2

• 3

Select the MOST SIMPLIFIED answer for the problem:

 $\frac{\sec^2x-1}{\sin^2x}$  

•  $\frac{1}{\cos^2x}$  

•  $\sec x$  

•  $\sec^2x$  

•  $\frac{1}{\cos x}$  

Select the MOST SIMPLIFIED answer for the problem:

 $\frac{\cot^2\theta}{1+\cot^2\theta}$  

•  $\cos\theta$  

•  $\cos^2\theta$  

• 1

•  $\left(\frac{\cos^2\theta}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{1}\right)$  

Select the MOST SIMPLIFIED answer for the problem:

 $\frac{1-\sin^2x}{1-\cos^2x}$  

•  $\frac{\cos x}{\sin x}$  

•  $\frac{\cos^2x}{\sin^2x}$  

•  $\tan^2x$  

•  $\cot^2x$  

 $\frac{\cos^2x+\sin^2x}{\sec x}$  

•  $\frac{1}{\sec x}$  

•  $\sin x$  

•  $\cos x$  

Select the MOST SIMPLIFIED answer for the problem:

 $\sin^2x+\sin x+\cos^2x-1$  

•  $\sin x$  

• 2

• 0