(tanθ+sinθ)/(2tanθ)=cos^2((θ)/(2)) verify the identity (tanθ+sinθ)/(2tanθ)=cos^2((θ)/(2)) verify the identity @Mathematics

Question

(tanθ+sinθ)/(2tanθ)=cos^2((θ)/(2)) verify the identity  (tanθ+sinθ)/(2tanθ)=cos^2((θ)/(2)) verify the identity  @Mathematics

anonymous · Answer

try converting to sin and cos

= sinx / cos x  +  sinx /      2sinx/cosx

=  sin x + sinxcosx          cos x
    --------------  *       ----
                cos x                 2sin x 
              
=     1 + cos x
       --------
             2
 =  cos^2 (x/2)

hoblos · Answer

attachment