Lesson 42 - Proofs

Prove:  tanx( tanx + cotx) = sec^2 x

Left side                               =                         Right side
tan^2x  + tanx(cotx)                               
tan^2 + tanx(1/tanx)    
tan^2x  + 1
  sec^2x                                                       sec^2x
                                 LS =  RS

Steps:
1)  Manipulation
2) sin/cos
3) Fraction
4) combine fraction
5) fracor and cancel
6) LS = RS

Prove:

cscx - sinx  = cosx(cotx)

LS                                   =                        RS

1/sinx  -  sinx (sinx)                         cosx( cosx/sinx)
               1    (sinx)                         cos^2x
1  -  sin^2x                                        sinx

     sinx        
 cos^2x
   sinx                    LS=RS