Answer:

We will first look into the trigonometric functions of the angles 30°, 45° and 60°.

Let us consider 30° and 60°.

These two angles form a 30°-60°-90° right triangle as shown.

The ratio of the sides of the triangle is

1 : √3 : 2

30-60-90 triangle

From the triangle we get the ratios as follows:

sin cos tan 30, 60

Next, we consider the 45˚ angle that forms a 45°-45°-90° right triangle as shown. The ratio of the sides of the triangle is

sin cos tan 45

Combining the two tables we get:

sin cos tan 30, 45, 60 table