Question

question 7 of 10
what is sin 60°?

a. \\( \frac { \sqrt { 3 } } { 2 } \\)
b. \\( \frac { 1 } { \sqrt { 2 } } \\)
c. \\( \frac { 1 } { \sqrt { 3 } } \\)
d. 1
e. \\( \sqrt { 3 } \\)
f. \\( \frac { 1 } { 2 } \\)

Explanation:

Step1: Recall sine definition

Sine of an angle in a right triangle is $\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify sides for 60°

For 60° angle, opposite side is $\sqrt{3}$, hypotenuse is 2.

Step3: Calculate $\sin 60^\circ$

$\sin 60^\circ = \frac{\sqrt{3}}{2}$.

Answer:

A. $\frac{\sqrt{3}}{2}$