Question

Analyze the diagram below and complete the instructions that follow. Find sin 60 degree

Answer 1

Given:

Right triangle

θ = 60°

To find:

sin 60°

Solution:

The reference image is attached below.

The given triangle is a right triangle.

θ = 60°

Using basic trigonometric ratio formula:

$\sin \theta = \frac{\text{Opposite side to } \theta} {\text{Hypotenuse}}$

$\sin 60^\circ = \frac{\text{Opposite side to } 60^\circ} {\text{Hypotenuse}}$

$\sin 60^\circ = \frac{BC}{AC}$

The value of sin 60° = $\frac{\sqrt{3} }{2}$.

$\frac{\sqrt{3} }{2} = \frac{BC}{AC}$

In the given figure, the values of adjacent side, opposite side and hypotenuse are not given.