Q11 of 45 Page 1

If (cos x)y = (cos y)x, find

OR


If sin y = x sin(a + y), prove that

Given; (cos x)y = (cos y)x


Taking log on both sides we get,


⇒ log [(cos x)y] = log [(cos y)x]


⇒ y log (cos x) = x log (cos y)


Differentiating w.r.t x;





OR


Given; sin y = x sin (a + y)



Differentiating both sides w.r.t y; Applying Quotient Rule





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