If `y=10 cos^2x - 6 sinx cos x+2 sin^2 x`,then find the greatest & least value of y .

If y = cos^2(45^@+x)+(sin x - cos x)^2 , then find the maximum and minimum value of y.

If sin(x+y)=cos(x-y) , then find the value of cos^(2)x .

If y= (sinx+cosx)+(sin4x+cos4x)^(2) , then :

If y=x^(sin x) + (sinx)^(cos x) ,then find (dy)/(dx) .

x sin ^ (3) theta + y cos ^ (3) theta = sin theta cos theta and x sin theta = y cos theta Find the value of x ^ (2) + y ^ (2)

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.

If 2^(sin x+cos y)=1 and 16^(sin^(2)x+cos^(2)y)=4 , then find the value of sin x and cos y

If sin x + sin y =a and cos x+cos y = b , find the values of : tan frac (x+y)(2) .