Question

Which equation can be used to find the measure of angle BAC?

Answer 1

It's 12\5 for inverse tangent.

Answer 2

`x=tan^(-1) ((12)/(5))`

Explanation:

we know that

In the right triangle ABC of the figure

The measure of angle BAC is equal to angle x

Applying the sine

`sin(x)=(BC)/(AB) =(12)/(13)`

`x=sin^(-1) ((12)/(13))`

Applying the cosine

`cos(x)=(AC)/(AB) =(5)/(13)`

`x=cos^(-1) ((5)/(13))`

Applying the tangent

`tan(x)=(BC)/(AC) =(12)/(5)`

`x=tan^(-1) ((12)/(5))`