Question

sin 2x is equal to 2 sin x cos x prove thar​

Answer 1

Answer:

    sin2x = 2sinx.cosx

Step-by-step explanation:

we know,

important identity ,

sin(A + B) = sinA.cosB + cosA. sinB

let A = x

B = x

then,

sin( x + x ) = sinx.cosx + cosx .sinx

sin( x + x ) = sinx(cosx + cosx)

sin( x + x ) = sinx. 2cosx

sin2x = 2sinx.cosx