If `sin x+sin y=a and cos x-cos y=b`. Then f ind value of `1/2(2-a^2-b^2)`

If sin x+sin y=a and cos x+cos y=b then cos(x-y) is equal to (1)/(2)(a^(2)+b^(2)-2)(B)(1)/(2)(a^(2)+b^(2)+2)

If sin x + sin y = a , cos x - cos y = b then the value of tan ((y-x)/2) is _______ in terms of a and b.

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

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

If sin x+sin y=a and cos x+cos y=b, then tan((x+y)/2 ' is equal to

If sin x + sin y = a and cos x + cos y = b then tan ((x + y) / (2)) is

Let x and y be real numbers such that (sin x)/(sin y)=3 and (cos x)/(cos y)=(1)/(2). The value of (sin2x)/(sin2y)+(cos2x)/(cos2y) is (i)(49)/(58)(ii)(41)/(58)(iii)(51)/(58)( iv) none of these

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 x=a sin theta and y=b cos theta, what is the value of b^(2)x^(2)+a^(2)y^(2)?