Lesson 41 - Identities

Identities:                                                      Steps:
Cos^2x + sin^2x = 1                                  1)  Manipulation
1+ tan^2x = sec^2x                                    2) Put everything in terms of sin/cos
cotx + 1= csc^2 x                                       3) complex fraction

Simplify:

csc^2x - cot^2x                                   cosx    +  sinx
sinx(1/cosx)                                          secx        cscx
  1   
= tanx                                              (cosx) cosx    +  sinx (sinx)
                                                        (cosx)1/cosx       1/sinx (sinx)
                                                                  cos^2x  +  sin^2x
                                                                           = 1