" कमाक-(5) सिय्द कीजियें कि "2sin^(2)q+cos^(4)q=sin^(4)q1

if x=a cos^(3)theta sin^(2)theta and y=a cos^(2)theta sin^(3)theta and ((x^(2)+y^(2))^(p))/((xy)^(q)) is independent of theta, then (A)4p=5q(B)5p=4q(C)p+q=9(D)pq=20

Let alpha=2tan^(-1)((1)/(2))+(sin^(-1)3)/(5) and beta=sin^(-1)((12)/(13))+cos^(-1)((4)/(5))+cos^(-1)((16)/(63)) be such that2sin alpha and cos beta are roots of the equation x^(2)-px+q=0, then (p-q) is

If int(cos^(3)x+cos^(5)x)/(sin^(2)x+sin^(4)x)dx=p sinx-q/(sinx)-rtan^(-1)(sinx)+C then p+2q+r is equql to:

If int(cos^(3)x+cos^(5)x)/(sin^(2)x+sin^(4)x)dx=p sinx-q/(sinx)-rtan^(-1)(sinx)+C then p+2q+r is equql to:

If sin q + cosecq =2, then the vlaue of sin ^(6) q + cosec ^(6) q is equal to

If alpha in Q_(4) and "sin" (alpha)/(2) + "cos" (alpha)/(2) = (-1)/(2) "then sin 2" alpha =

tan^(2)P-tan^(2)Q=(sin^(2)P-sin^(2)Q)/(cos^(2)P*cos^(2)Q)

If (cos A)/(cos B)=p,(sin A)/(sin B)=q ,then (p^(2)(q^(2)-1))/(p^(2)-q^(2)) is equal to (A)-cos^(2)A(B)cos^(2)B(C)cos^(2)A(D)sin^(2)B