Question

Need help with a trig problem please

Answer 1

\[\tan(Sin ^{-1}\frac{ x }{ 2 })\]

Answer 2

Ooo these bad boys!
These ones are always fun :D

Answer 3

Instructions say to find the exact value of the expression, no calculator.
Oh yeah :) much fun.

Answer 4

Hahaha! I didn't recognize you with your changed picture. ZEPPPY

Answer 5

Haha, ya Pooja stole my picture :D
So I'm getting some payback or whatever.

Answer 6

Too funny xD

Answer 7

\[\large\rm \tan\left(\color{orangered}{\arcsin\frac{x}{2}}\right)\]Work from the inside out.
Recall that the inverse functions give us angles, ya?
So this arcsine business is really just some angle, let's call it theta,\[\large\rm \color{orangered}{\arcsin\frac{x}{2}=\theta}\]

Answer 8

So we want to find the angle that gives us x/2 when we take the sine of said angle?
sin(theta)=x/2
Correct?

Answer 9

Ok great, good second step.
From there draw a triangle.

Answer 10

I tried that... got x as the opposite side, 2 for the hypotenuse, and then 4 - x^2 as the other leg? Am I right?

Answer 11

square root of 4-x^2, ya?