1. Explain the metaphor "an identity is the specifications of a car, the proof is the design."
2. If the identity1 + cot x = csc xis used in the proof of another identity, for what values ofxis the proof valid? (Radian mode)

Prove each identity. Show your steps and/or explain your reasoning for full marks.

Don't forget to list non-permissible values.(Radian mode)

Question 6(3 points)

A, secx/tanx=cscx

B, (cos^2 x )/(1-sinx ) - (cos^2 x)/(1+sinx)=2sinx

Use the following for the nextthreequestions.

Considertheidentity

(1-cos^2x)/(cotxsinx) =tanxsinx.

Question 2(2 points)

A, Verifytheidentityforx=pi/3

B, verify the identity for x= 150 degree

C, Suppose the identity was used to simplify an expression totan x. For what values is this new expression defined? (Radian mode)