Question

Rewrite the expression, tan(arcsin x), as an algebraic expression in x

Answer 1

we assign x as the upright side of the right triangle, 1 as the hypotenuse. in this case, the horizontal side or the base is square root of (1- x2). arc sin x is equal to theta. tan theta is equal to x / square root of (1- x2). The final answer is x / square root of (1- x2)