If `alpha=sin^(-1)(cos(sin^(-1)x))a n dbeta=cos^(-1)("sin"(cos^(-1)x)),` then find `tanalphadottanbeta`

If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1) x)) , then find tan alpha. tan beta.

Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

If f(x)=sin^(-1)(cosec(sin^(-1)x))+cos^(-1)(sec(cos^(-1)x)) , then f(x) takes

cos(a sin ^(-1)"1/x)

If cos^(-1)x gt sin^(-1) x , then

If cos^(-1)x >sin^(-1)x , then

tan^(-1) ((1-cos x)/(sin x))

(sin x)/(1+cos x)

Prove that sin (cos^(-1) x) = cos (sin^(-1) x)