Question

tan(arcsin(x/5))=

Answer 1

theta is the angle where the sin is x/5.

So what would be the tan of theta? It will be x/?

You find ? using Pythagorean Theorem.

Answer 2

tan=sin/sqrt(1-sin^2). sin(arcsin(x))=x. tan(arcsin(x))=x/sqrt(1-x^2).

Thus tan(arcsin(x/5))=(x/5)*1/sqrt(1-(x/5)^2))