`sqrt(x)` के सापेक्ष ` sin ^(-1)"" (1-x)/(1+x) ` का अवकलन है-

sqrt((1+sin x)/(1-sin x))

cos^(-1)sqrt(1-x)+sin^(-1)sqrt(1-x)=

Prove that cot^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin x) - sqrt(1 - sin x))) = (x)/(2), x in (0, (pi)/(4))

Prove that cot^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin x) - sqrt(1 - sin x))) = (x)/(2), x in (0, (pi)/(4))

यदि x+(1)/(x)=sqrt(3) है तब x^(3)+(1)/(x^(3)) का मान होगा -

Differentiate tan^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin x) - sqrt(1 - sin x))) w.r.t.x .

solve : sin ^(-1) ""((x)/(sqrt(1+x^(2))))-sin ^(-1)((1)/(sqrt(1+x^(2))))= sin ^(-1) ((1+x)/(1+x^(2)))