Directions: Verify the given problems.


1) sin y+ sin y • cot² y = csc y
  
    sin y+ sin y(1+cot² y) = csc y   1) Pythagorean Identity
          
    sin y(csc² y) =  csc y
        
    sin y(1/sin² y) = csc y               2)Simplify csc² y to 1/sin² y
          
    1/sin y = csc y
              
    csc y = csc y
                       
                   ✔

2) sin x/1-cos x=1+cos x/sin x
       
        sin x/1-cos² x (1+cos x)/(1+cos x) = RS      1) Multiply by conjugate:        
        sin x(1+cos x)/1-cos² x = RS                                                    1+cos x
  
        sinx(1+cos x)/sin² x = RS                            2) Pythagorean Identity:

     1+cos x/sin x = 1+cos x/sin x                                     1-cos² x= sin² x
                                                           
                                           ✔
(Note: The sine on top cancels one of the sine's on bottom, leaving one sine on bottom.)