Question

In the triangle below, what is cos θ?

Answer 1

cosine is defined as adjacent over hypotenuse. in this case, the angle is theta, so we look at 24 over 26.
cos θ = 24/26 = 12/13 = .923.
we take the inverse cosine in order to find the angle measurement.
it should look like
`cos^(-1)`.
set that up as
`cos^(-1)` (24/26) = θ
here you would get the answer 22.6°

Answer 2

`\cos\theta=(12)/(13)`

Explanation:

Remember the defintion of
`\cos \theta` as a ratio between the adjacent side and the hypotenusa of the right triangle, That is

`\cos\theta=\frac{\mbox{adjacent side}}{\mbox{hypotenusa}}`

Replacing we have

`\cos\theta=(24)/(26)=(12)/(13)`

where we have simplified the fraction.