Homework SourseSimplify the expression tansin1xSolution tan sin1 x let u s
Simplify the expression tan(sin^-1x)
Solution
tan [sin^-1 (x)] let u = sin^-1 (x) so, sin u = x now u draw a right-angled triangle with an angle u : from sin u = x , the opp. is x and the hypotenus is 1, then u find the adj. which is v(1 - x^2) tan [sin^-1 (x)] = tan u = opp./adj. = x / v(1 - x^2) therefore tan [sin^-1 (x)] = x / v(1 - x^2)![Simplify the expression tan(sin^-1x)Solution tan [sin^-1 (x)] let u = sin^-1 (x) so, sin u = x now u draw a right-angled triangle with an angle u : from sin u =](/WebImages/38/simplify-the-expression-tansin1xsolution-tan-sin1-x-let-u-s-1115618-1761592532-0.webp "Simplify the expression tan(sin^-1x)Solution tan [sin^-1 (x)] let u = sin^-1 (x) so, sin u = x now u draw a right-angled triangle with an angle u : from sin u =")
