Question

I want to prove that (2tanx)/(sec^2x)=sin2x.

Answer 1

Answer:

Step-by-step explanation:

$LHS = \frac{2 tan x}{Sec^{2} x}\\\\= 2tan x * \frac{1}{Sec^{2}x}\\\\= 2*\frac{Sinx }{Cos x}*Cos^{2}x\\\\= 2Sin x *Cos x\\= Sin 2x$