Home
Class 12
MATHS
sin(sin^-1 x) = x; cos(cos^-1 x) = x; ta...

`sin(sin^-1 x) = x; cos(cos^-1 x) = x; tan(tan^-1 x) = x; cot(cot^-1 x) = x; sec(sec^-1 x) = x; cosec(cosec^-1 x) = x`

Promotional Banner

Similar Questions

Explore conceptually related problems

sin(sin^(-1)x)=x;cos(cos^(-1)x)=x;tan(tan^(-1)x)=x;cot(cot^(-1)x)=x;sec(sec^(-1)x)=x;cos ec(cos ec^(-1)x)

sin^(-1)(sin x)=x;cos^(-1)(cos x)=x;tan^(-1)(tan x)=x;cot^(-1)(cot x)=x;sec^(-1)(sec x)=x;cos ec^(-1)(cos ecx)

sin^-1(-x) = -sin^-1(x); cos^-1(-x) = pi - cos^-1(x); tan^-1(-x) = -tan^-1(x); cot^-1(-x) = pi - cot^-1(x); sec^-1(-x) = pi - sec^-1(x); cosec^-1(-x) = -cosec^-1(X)

sin "cosec"^(-1) cot (tan^(-1)x) =x

sin(sec^(-1)x+"cosec"^(-1)x)

Let f(x)=(sin^(-1)x)/(cos^(-1)x)+(cos^(-1)x)/(tan^(-1)x)+(tan^(-1)x)/(sec^(-1)x)+(sec^(-1)x)/(cosec^(-1)x)+(cosec^(-1)x)/(cot^(-1)x)+(cot^(-1)x)/(sin^(-1)x) . Then which of the following statements holds good?

Let f(x)=(sin^(-1)x)/(cos^(-1)x)+(cos^(-1)x)/(tan^(-1)x)+(tan^(-1)x)/(sec^(-1)x)+(sec^(-1)x)/(cosec^(-1)x)+(cosec^(-1)x)/(cot^(-1)x)+(cot^(-1)x)/(sin^(-1)x) . Then which of the following statements holds good?

cos(sec^(-1)x+cosec^(-1)x),|x|ge1