If `sinx Coshy = costheta, cos xsinh y= sintheta` then `sinh^2 y=`

If sin x cosh y = cos theta, cos x sinh y = sin theta then sinh^2 y =

If sin x sinh y = cos theta, cos x coshy = sin theta then cosh^2 y + cos^2 x=

If sec theta cos h y= cosec x and cosec theta sinh y = sec x, then sinh^2y=

If x = 2costheta- cos 2theta, y = 2sintheta -sin 2theta, find dy/dx.

If x= a(costheta + sintheta), y= a(sintheta + costheta) , then (d^2y)/(dx^2) at theta = pi/4 .............

Find dy/dx if x=costheta-cos2theta and y=sintheta-sin2theta

If A = [(sintheta ,- costheta), (costheta, sintheta)] and B = [(costheta , sin theta),(-sintheta, cos theta)] . Compute (sin theta) A + (cos theta) B.

If x = a(sintheta + costheta) and y = b (sintheta- costheta) then (x^2 //a^2 ) + (y^2 //b^2) =? (a)3 (b)1 (c)4 (d)2

If x sin^(3)theta + y cos^(3)theta = sintheta costheta and x sin theta = y cos theta , prove that x^(2) + y^(2) = 1.