Write the conditions as to when can we take out 'x' from- `sin^-1(sin(x))`

Match the conditions/expressions in Column I with statement in Column? (A).sin(pi[x]) (B) sin{pi(x-[x])}

Write the value x for which d/dxsin^-1(sin x)=1

Write the domain of f(x) = sin^(-1)x

Write the derivative of sin^-1x with respect to cos^-1 x.

Write in the simplest form : tan^-1 (sin x/(1 + cos x))

Write the derivative of sin^(-1)(cosx) with respect to x.

Select and write the correct answer from the given alternatives in each of the following: |(sin^2 x,cos^2 x,1),(cos^2 x,sin^2 x,1),(-10,12,2)| =

Write the value of sin^-1 x + cos^-1 x from the following :

Write the value x for which d/dxsin(sin^-1x)=1