" (a) "f(x)=5x^(2)+sqrt(57):(sin A)/(1+cos A)+(1+cos A)/(sin A)=2csc A

Prove that : (sin A)/ (1 + cos A) + (1 + cos A)/ (sin A) = 2 cosec A

Prove that (sin A)/(1 + cos A) + (sin A)/(1 - cos A) = 2 cosec A.

5sin^(2)x+sqrt(3)sin x cos x+6cos^(2)x=5 if

5sin^(2)x+sqrt(3)sin x cos x+6cos^(2)x=5 if

f(x)=sqrt(|sin^(-1)|sin x||-cos^(-1)|cos x|) is

if a=(1+sin x)/(1-cos x+sin x) then (1+cos x+sin x)/(2sin x) is

Integrate the following: int{(5cos^3x+2sin^3 x)/(2sin^2 x*cos^2 x)+sqrt(1+sin2x)+(1+2sin x)/(cos^2x)+(1-cos2x)/(1+cos 2x)}dx

If I=int(sin x+sin^(3)x)/(cos2x)dx=P cos x+Q log|f(x)|+R then (a)P=(1)/(2),Q=-(3)/(4sqrt(2))(b)P=(1)/(4),Q=(1)/(sqrt(2)) (c) f(x)=(sqrt(2)cos x+1)/(sqrt(2)cos x-1)(d)f(x)=(sqrt(2)cos x-1)/(sqrt(2)cos x+1)

f(x)=x^(2)-2sqrt(sin*sqrt(3)-sin sqrt(2))x-(cos sqrt(3)-cos sqrt(2))

Ify,=sqrt(((1+cos x)/(2))), provethat (dy)/(dx)=-(1)/(2)(sin x)/(2) If y,=sqrt((1+sin x)/(1-sin x)), prove that cos x(dy)/(dx)=y