`(1)/(3-5sin2x)`

Prove that , tan^(-1)((2 sin 2x)/(1+2 cos 2x))-(1)/(2)sin^(-1)((3 sin 2x)/(5+4 cos 2x))=x .

If y=(5x)/((1-x^(2))^((1)/(3)))+sin^(2)(2x+3) Find (dy)/(dx)

If sin ^(2) x + (1)/(4) sin^(2) 3x = sin x sin^(2) 3 x then x =

sin2theta+(1)/(3)sin^(3)2theta+(1)/(5)sin^(5)2theta+....=

sin2theta+(1)/(3)sin^(3)2theta+(1)/(5)sin^(5)2theta+....=

If p(x)=sin x(sin^(3)x+3)+cos x(cos^(3)x+4)+((1)/(2))sin^(2)2x+5 then find the range of p(x)

Solve sin^(2)x+(1)/(4)sin^(2)3x=sin x sin^(2)3x

Solve the following equations: sin^(-1)((3x)/5)+sin^(-1)((4x)/5)=sin^(-1)x sin^(-1)6x+sin^(-1)6sqrt(3)x=pi/2

Solve the following equations: sin^(-1)(3x)/(5)+sin^(-1)(4x)/(5)=sin^(-1)xsin^(-1)6x+sin^(-1)6sqrt(3)x=(pi)/(2)

If x_1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x_2=sin^(-1)(3/5)+sin^(-1)((2sqrt2)/3) , then