Question

Prove:

sin2x*sinx/2cosx + cos^2 0 = 1

Answer 1

I corrected your typo
sin(2x)*sinx/2cosx + cos^2 x = 1

LS = 2sinxcosx(sinx)/(2cosx) + cos^2x
= sinx(sinx) + cos^2 x
= sin^2 x + cos^2 x
= 1
= RS

Answer 2

Thank you! :)