Question

question 22 of 26
in the triangle below, what is the cosine of 60°?
image of a right triangle with a 60° angle, a 30° angle, one leg labeled 1, the other leg labeled √3, and hypotenuse labeled 2
a. √3
b. \\(\frac{1}{2}\\)
c. 1
d. \\(\frac{1}{\sqrt{3}}\\)

Explanation:

Step1: Recall cosine definition

Cosine of an angle in a right triangle is $\frac{\text{adjacent side}}{\text{hypotenuse}}$.

Step2: Identify sides for 60°

For 60° angle, adjacent side is 1, hypotenuse is 2.

Step3: Calculate cos(60°)

$\cos(60^\circ)=\frac{1}{2}$

Answer:

B. $\frac{1}{2}$