[4fq],[" 4f "sin^(-1)(1-x)-2sin^(-1)x=(pi)/(2)," " "x" and "x/18x],[[" (A) "0,(1)/(2)," (B) "1,(1)/(2)," (C) "0," (D) "(1)/(2)]]

Prove that tan^(-1)((cosx)/(1+sin x)) =(pi)/(4)-(x)/(2), x in (-(pi)/(2), (pi)/(2)) .

If f(x)=(1-sin^(2)x)/(1+sin^(2)x)," then "3f'((pi)/(4))-f((pi)/(4))=

If sqrt((1-sin x)/(1+sin x))=f((pi)/(4)-(x)/(2)) then f=

Prove that (i) cos (n + 2) x cos (n+1) x +sin (n+2) x sin (n+1) x = cos x) (ii) " cos " .((pi)/(4)-x) " cos " .((pi)/(4)-y) " - sin " ((pi)/(4)-x ) " sin " ((pi)/(4) -y) =" sin " (x+y)

If sin^(-1)(sin((2x^(2)+4)/(1+x^(2))))lt pi-3 then x satisfies.

Solve for x:sin^(-1)(sin((2x^(2)+4)/(1+x^(2))))

Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/(2)}=(pi)/(4)+(sin^(-1)x)/(2),0

If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4))=

If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4))=