Q. 124.0( 4 Votes )

# If sin y = x sin(

Answer :

Given: sin y = x sin (a + y) … (1)

Differentiating both sides w. r. t to y, we get

We know that sin A cos B – cos A sin B = sin (A – B)

Hence, proved.

OR

Given: (cos x) y = (sin y) x

Taking log on both sides, we get

y log (cos x) = x log (sin y)

Differentiating w. r. to x, we get

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