Question

Which trig equation should be used to solve for x?

Answer 1

Solution:

To find the appropiate trigonometric formula.

we know that,

for the right angle triangle, we have that,

$\sin \theta=\frac{opposite\text{ side}}{hypotenuse}$

The side opposite to the right angle is hypotenuse, the side opposite to the angle theta is opposite side and the other side is adjacent side.

Also we have,

$\cos \theta=\frac{adjacent\text{ side}}{hypotenuse}$$\tan \theta=\frac{opposite\text{ side}}{adjacent\text{ side}}$

Using this we get,

$\sin 37\degree=\frac{x}{12}$

Answer is:

$\sin 37\degree=\frac{x}{12}$