((3)/(5)cos x+(4)/(5)sin x)," where "-(3 pi)/(4)<=x<=(pi)/(4)

Find the simplified form of cos^(-1)(3/5cosx+4/5sinx),"where "x in[(-3pi)/4,pi/4] .

Simplify cos^-1(3/5cosx + 4/5 sin x), x in (-(2pi)/(3) , (pi)/(4))

int ((cos x) ^ (4)) / ((sin x) ^ (3) ((sin x) ^ (5) + (cos x) ^ (5)) ^ ((3) / (5)) ) dx

If f(x) is continuous at x=(pi)/(4) where f(x)=(2sqrt(2)-(cos x+sin x)^(3))/(1-sin2x) ,for x!=(pi)/(4) then f((pi)/(4))=

int(sin^(3)x cos^(5)x-cos^(3)x sin^(5)x)ln(sin2x)*dx=f(x), where f((pi)/(4))=-(1)/(256) then the value of f((5 pi)/(4)) equals

int(sin x-cos x)/(sqrt(1-sin2x))e^(sin x)cos xdx, where [x in((pi)/(4),(3 pi)/(4))]

3cos x+4sin x=5

Prove that : int_(0)^(pi//2) (cos^(5))/(sin^(5) x+cos^(5) x)dx= (pi)/(4)

Prove that : int_(0)^(pi//2) (cos^(5))/(sin^(5) x+cos^(5) x)dx= (pi)/(4)