" Let "f(x)=(1)/(2)-tan((pi x)/(2));-1

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

Let f(x)=(1-tan x)/(4x-pi),x!=(pi)/(4),x in[0,(pi)/(2)], If f(x) is continuous in [0,(pi)/(4)], then find the value of f((pi)/(4))

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

Let f(x)=(x^(2)-1)(pi-e^(x)) then

Let f(x)=(x^(2)-1)(pi-e^(x)) then

Let f(x)={{:((1-cosx)/((2pi-x)^(2)).(tan^(2)x)/(ln(1+4pi^(2)-4pix+x^(2))),":",xne2pi),(lambda,":",x=2pi):} is continuous at x=2pi , then the value of lambda is equal to

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