How do you verify 2cos^2(x/2)tanx = tanx+sinx?

1 Answer
Jul 12, 2018

"see explanation"

Explanation:

"using the "color(blue)"trigonometric identity"

•color(white)(x)cos2x=2cos^2x-1

"consider the left side"

(cosx+1)tanx

=tanx+(cancel(cosx)xxsinx/cancel(cosx))

=tanx+sinx=" right side "rArr"verified"