Let `f(x)=tan^(-1)(1/2 tan2x)+tan^(-1)(cotx)+tan^(-1)(cot^3x) then` (1) `f((3 pi)/8)=pi` (2) `f(pi/8)=0` (3) `f(pi/8) =pi` (4) `f((3pi)/8)=0`

Let f(x)=tan^(-1)((1)/(2)tan2x)+tan^(-1)(cot x)+tan^(-1)(cot^(3)x)then (1) f((3 pi)/(8))=pi(2)f((pi)/(8))=0(3)f((pi)/(8))=pi(4)f((3 pi)/(8))=0

prove that :tan^(-1)(((1)/(2))tan2A)+tan^(-1)(cot A)+tan^(-1)(cot^(3)A)={0when(pi)/(4)

Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cota)+tan^(-1)(cot^3A)={0 when pi/4 Ale pi/2 and pi , when 0 le A le pi/4 }

If f(x ) = (sin^(2)x)/(1+cot x) + (cos^(2))/(1+tan x) then f((pi)/(4)) is

let f(x)=e^(cos^(-1)sin(x + pi/3)) then f((8pi)/9) and f((-7pi)/4)

int_0^pi||sinx|-|cosx||dx is equal to (a) tan((3pi)/8) (b) tan(pi/8) (c) 4 tan(pi/8) (d) 2 tan((3pi)/8)

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) 0 (3 pi)/(4) pi) (0 (3 pi)/(4)

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

f(x)=(tanx)/(sqrt(1+tan^(2)x)) and f((pi)/(2)-)=a,f((pi)/(2)+)=b then

let f(x)=e^(cos-1)sin(x+(pi)/(3)) then f((8 pi)/(9)) and f((-7 pi)/(4))