Posted by Jamie on .
1.) cot(θ)(secθ)
I think the answer is secθ but I don't know how to get this.
2.) (tanθ) / (cos)(90° θ)
3.) 3sin2xcos2x  sin4x
4.) (cosx + tanx) / (csc^2 x)

Math Simplifying Identities 
Reiny,
cot(θ)(secθ)
= cos(Ø)/sin(Ø)(1/cosØ
= (cosØ/sinØ)(1/cosØ
=  1/sinØ
=  csc(Ø)
(test your answers with some weird angle, don't use 30's , 60's, or 45's)
2. you will have to know that
cos(90°x) = sinx
take it from there
3. 3sin2xcos2x  sin4x
= 3sin2xcos2x  2sin2xcos2x
= sin2xcos2x
or (1/2)sin4x
4. change everything to sines and cosines and just mess around with it.
make sure to test your answer vs the original with some strange angle on your calculator.