If maximum value of `(sin-^1x)^2+(cos^-1x)^2 ` is equal to `(api^2)/b` (a and b are coprime ) then `(a+b)` equal to:

If a gt b , maximum value of a sin ^2x + b cos ^2 x is

The value of int_(0)^(pi//2)x|sin^(2)x-(1)/(2)|dx is equal to (api)/(b) where a,b are co-prime numbers, then a.b is ____________

The value of int_(0)^(pi//2)x|sin^(2)x-(1)/(2)|dx is equal to (api)/(b) where a,b are co-prime numbers, then a.b is ____________

If the area enclosed by the curves f(x)=cos^(-1)(cosx) and g(x)=sin^(-1)(cosx)" in "x in [(9pi)/4, (15pi)/4] is api^(2)//b (where a and b are coprime), then the value of (a-b) is

If the area enclosed by the curves f(x)=cos^(-1)(cosx) and g(x)=sin^(-1)(cosx) in x in [(9pi)/4,(15pi)/4] is api^(2),//b (where a and b are coprime), then the value of (a-b) is

If tan alpha=2 and alpha in(pi,(3 pi)/(2)), then value of the expression (cos alpha)/(sin^(3)alpha+cos^(3)alpha) is equal to (a)/(b) where a and b are coprimes,then value of b-a is

If A+B=(pi)/(2) and sin A+sin B=1 then sin2A is equal to

If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] " is " api^(2)//b (where a and b are coprime), then the value of b is ____

If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] " is " api^(2)//b (where a and b are coprime), then the value of b is ____