Verify sinx cosx2 sin2x 1Solutionprove sin x cos x2 sin

Solution

prove (sin x + cos x)² = sin 2x +1

LHS:

from( A+B)² = A² + B² +2*A*B

( sin x+ cos x)² = sin²x + cos²x + 2*sin x*cos x

[ sin²x + cos²x = 1, sin 2x =  2*sin x*cos x ]

so ( sin x+ cos x)² = 1 + sin 2x

LHS=RHS