Identity Recognition

Which of the following identities are considered reciprocal identities? There are 2 correct answers.

Finish the Pythagorean Identity:

 $\sin^2x+\cos^2x=?$  

•  $\tan^2x$  

• 1

• 2

•  $\csc^2x+\sec^2x$  

There is only one way to approach each simplify/verify trig problem.

• True

• False

Finish the identity. There are 2 correct answers.

 $\tan\left(x\right)=$  

•  $\sec^{2\ }\left(x\right)-1$  

•  $\frac{\sin\left(x\right)}{\cos\left(x\right)}$  

•  $\frac{\cos\left(x\right)}{\sin\left(x\right)}$  

•  $\frac{1}{\cot\left(x\right)}$  

Which of the following is NOT a method we use for simplifying and verifying trig?

• Factor the expression

• Get a common denominator

• Convert everything to sine/cosine

• Use a pythagorean identity

• Divide everything by tangent

Simplify the following expression into 1 term.

 $\tan\theta\times\cot\theta$  

•  $\tan^2\theta$  

•  $\cot^2\theta$  

• 1

•  $\sec\theta$  

•  $\csc\theta$  

Finish the identity:

 $1+\tan^2x=$  

•  $\csc^2x$  

•  $\sec^{2\ }x$  

•  $\cot^2x$  

•  $\frac{1}{\cot^2x}$  

• Take out a GCF

• Get a common denominator 

• Convert everything into Sine & Cosine

• Use a Pythagorean Identity 

Overall, what would you rate your confidence level in your ability to simplify/verify trig expressions & equations so far?

• Very Confident

• Somewhat Confident

• Not Confident

Finish the identity:
 $\cos\left(-x\right)=$  

•  $-\cos\left(x\right)$  

•  $\cos\left(x\right)$  

•  $\sec\left(x\right)$  

•  $-\sec\left(x\right)$