" (i) "cos^(-1)((3)/(5)cos x+(4)/(5)sin x)," where "-(3 pi)/(4)<=x<=(pi)/(4)

Simplify each of the following: cos^(-1)((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(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

If cos ^(-1)((3)/(5))-sin ^(-1)((4)/(5))=cos ^(-1) x, then x=

Prove that (i) "cos " ((pi)/(3) +x) =(1)/(2) ( " cos " x - sqrt(3) sin x) (ii) " sin " ((pi)/(4) + x) + " sin " ((pi)/(4)-x) =sqrt(2) " cos " x (iii) (1)/(sqrt(2)) " cos ((pi)/(4) + x) = (1)/(2) " (cos x - sin x) " (iv) " cos x + cos " ((2pi)/(3) +x) + " cos " ((2pi)/(3)-x) =0

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)

If cos^(-1)(3/5)-sin^(-1)(4/5)=cos^(-1)x then x=

cos^(-1)((sin x+cos x)/(sqrt(2))),(pi)/(4) lt x lt (5pi)/4