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 = (BC)/(AC)`

The value of sin 60° =
`(√(3) )/(2)`.

`$(√(3) )/(2) = (BC)/(AC)`

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