8-4

We are working on section 8-4 this week in advanced math. I feel that it is one of the easiest things that we have learned all year if you can memorize the formulas. All you are doing is replacing the trig functions with Pythagorean identities. Below I will show you how to do an example step by step. You won’t need to many examples before you get the hang of this section.


GUIDLINES:
1.pythagorean identities
2.move everything to sin and cos or tan if possible
3.algebra to simplify
4.identities again
5.algebra again


First to start off I’ll give you a few easy Pythagorean identities to plug into the trig functions.
csc = 1/sin
cot =1/tan
sec =1cos
tanx=sinx/cosx
cotx=cosx/sinx

EXAMPLE 1.(secx)(tanx)secx= 1/cosx and tanx= sinx/cosx(1/cosx)(sinx/cosx)=sinx/cos^2x=tan^2x is going to be your final answer