1.

6 2x = 2 sinx cos x = рди

Answer»

We know, one important identity , sin( A + B) =sinA.cosB + cosA. sinB

let A = x, B = x then, sin( x + x ) = sinx.cosx + cosx .sinx sin2x = 2sinx.cosx

RHS=2tan x/1+tan^2 x = 2tan x/sec^2 x= 2tan x/1÷cos^2 x = 2 × sin x/cos x ×cos^2 x= 2sin x ×cos x= sin2x

Hence proved



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