Find the exact value of the following expression (without using a calculator): tan(sin^-1 x/2)

ANSWER

EXPLANATION

We want to find the exact value of

Let

This implies that

This implies that,

The opposite is x units and the hypotenuse is 2 units.

The adjacent side is found using Pythagoras Theorem.

This implies that,

But

This implies that,

x+14

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)