Question

What is the cosine of angle L

A. 2
B. 1/2
C. 3 square rooted
D. 3 square rooted/2​

Answer 1

Answer: option D.

Explanation:

Remember the cosine identity:

`cos\alpha=(adjacent)/(hypotenuse)`

Given the right triangle shown in the image, you can identify that the adjacent side and the hypotenuse for the angle L of this triangle are:

`adjacent=√(3)\\hypotenuse=2`

Now you can substitute values into
`cos\alpha=(adjacent)/(hypotenuse)`

Therefore you get:

`cos(L)=(√(3))/(2)`

This matches with the option D.