Question

Evaluate sin 60° without using a calculator by using ratios in a reference triangle.

Answer 1

Answer:

√3/2

Step-by-step explanation:

You want to draw a right triangle, and because it's looking for sin 60 we know it's a 30 60 90 triangle, so the other angle is 30. And the dimensions of a 30 60 90 triangle are always 1, √3, 2. In these triangles, 2 is ALWAYS the hypotenuse, or the longest side.  And 1 is ALWAYS directly across from angle 30, and √3 is ALWAYS directly across from angle 60.

Sin is defined as opposite over hypotenuse. So take whatever is opposite of angle 60, which is √3, and put it over the hypotenuse, which is 2.

√3/2

Answer 2

Answer:

√3/2

Step-by-step explanation:

https://youtu.be/NpzkiOaVfxI