Relationships among the functions

Soo today we will be learning about relationships among the different functions such as cos tan and sin. Next i will explain in deep details how you will deal with these functions.

-The first step is to use your algebra skills to add,subtract,multiply,or divide any of the fucntions that can be simplified.

-The next step is to use your identities to simplify.

-Next you will do algebra again to try to simplify more.

-You will repeat the same steps over and over again till your equation is in simplest form.

PYTHAGOREAN

sin^2x+cos^2x=1

1+cot^2x=csc^2x

1+tan^2x=sec^2x

Recipricles

cscx=1/sinx

tanx=sinx/cosx

secx=1/cosx

cotx=cosx/sinx

So now that i have explained to you how to solve/simplify these function and showed you the identities I will show you how to work them.

Examples:

(sec^2x-1)(csc^2x-1)

(tan^2x)(cot^2x)

(sin^2x/cos^2x)(cos^2x/sin^2x)

0

1+cot^2a reduces to 1/sin^2a