Question

What is the measure of an angle whose sine is√3/2 ? 60 45 30

please I need entire explanation, and how do I use my calculator to fin the answer.

Answer 1

60

Explanation:

sin(theta) = sqrt(3)/2

On the calculator:

Press shift

Press sin

(It will show sin^-1)

Then enter sqrt(3)/2

Press =

It will give you an output of 60

Answer 2

Explanation:

Step 1: Find the answer

To find sine, that means we need to find the y-value where it equals √3/2.

If you know the unit circle, you know that the long side is √3/2 and the short side is 1/2. So... in order to have the long side to be a y-value, that means that we need to have a long vertical triangle. The angle that will fit this will be 60 degrees.

On you calculator, you should have a sin and you just type in something like this: sin(60) and it should give you √3/2.

Answer: Option A, 60