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(sin y)^(x)=a...

(sin y)^(x)=a

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" (ii) "(sin y)^(x)=(cos x)^(y)

[x (cos y) / (x) + y (sin y) / (x)] y = [y (sin y) / (x) -x (cos y) / (x)] x ((dy) / (dx))

If (sin x)^Y = (sin y)^x , find dy/dx :

Find dy/dx when (sin x)^y = (sin y)^x

{ xcos ((y)/(x)) + y sin ((y)/(x))} y dx = { y sin ((y)/(x)) - x cos ((y)/(x))}x dy

{ xcos ((y)/(x)) + y sin ((y)/(x))} y dx = { y sin ((y)/(x)) - x cos ((y)/(x))}x dy

If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) then (tanx)/(tany) = …………

(sin(x+y))/(sin(x-y))=(a+b)/(a-b) , then (tanx)/(tany)=?