Question

If a sin’ x + b cos x = sin x cos x and a sinx = b cos x, then find a² + b2.​

Answer 1

Answer:

1/4

Step-by-step explanation:

Given a sinx = b cosx

Using this in eqn.

a sinx + b cosx = sinx.cosx

= 2a sinx = sinx.cosx

= a= cosx/2

similarly b= sinx/2

now, a²+ b² = 1/4

Ans.1/4

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