Demonstrate-that-x-0-pi-2-tanx-1-cos-2x-sin-2x-

Question Number 75617 by mathocean1 last updated on 13/Dec/19

Demonstrate that \forall x \in] 0; \frac{π}{2} [

tanx = \frac{1 - \cos (2 x)}{\sin (2 x)}

Commented by mind is power last updated on 13/Dec/19

use \cos (2 x) = 1 - {2 \sin}^{2} (x)

and \sin (2 x) = 2 \sin (x) \cos (x)