Verify: 1+cosx/sinx+sinx/1+cosx=2cscx

Question

This is for my trig class, thanks for the help!

Answer 1

 

  1 +  CosX +  SinX  ___       =      2 CSCX

        Sin X      1 + Cos X

 

    ( 1 + COSX)^2 +(Sin^2)X   =                   2CSCX

            Sin X ( 1 + Cos X)

 

    1 +( Cos^2) X + 2COSX+ Sin^2X    =                                                 2 CSCX

              Sin X ( 1 + COs X)

 

       2 + 2COsX             =

        SinX ( 1 + CosX)

        

         

        2( 1 + COsX)   =      

        SinX ( 1 +CosX)

 

            2      =                                                                                   2 CSCX

           SinX