Question

Which trig equation should be used to solve for x?

Answer 1

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=(x)/(12)`

Answer is:

`\sin 37\degree=(x)/(12)`