# What are all the special angles?

## What are all the special angles?

There are specific angles that provide simple and exact trigonometric values. These specific angles are known as trigonometric special angles. These are 30o, 45o, and 60o. 45o – 45o – 90o triangle — also known as isosceles triangle — is a special triangle with the angles 45o, 45o, and 90o.

What are the trigonometric ratios of special angles?

In trigonometry, 0°, 30°, 45°, 60° and 90° are called as special angles and they always lie in the first quadrant. These special angles 0°, 30°, 45° and 60° are frequently seen in applications and we can use geometry to determine the trigonometric ratios of these angles.

### Why are special angles important?

Special Angle Values Because of this, they are the angles most commonly used in calculus problems. We can find the trigonometric values for these special angles using the above trigonometric ratios. And, using this 45-45-90 triangle, we can find the trigonometric functions for a 45° angle.

Which is an example of a special angle?

Special Angles: 30 and 60. Let us first 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.

## How to find exact values of special angles?

How to use them to find exact values of expressions involving sine, cosine and tangent values of 0, 30, 45, 60 and 90 degrees? This is conclusion of a two part lesson. How to use right triangle and label sides to find sin, cos, tan, cot, csc, and sec of the special angles, and of angles at multiples of 90°?

How to calculate the special angles in trigonometry?

Trigonometry Worksheets Special Angles: 30 and 60. Let us first 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 . From the triangle we get the ratios as follows: Special Angles: 45 and 90

### How many special angles are on a unit circle?

The sixteen special angles (measured in radians) on the unit circle, each labeled at the terminal point. These angles are commonly given as an argument of a trigonometric function such as the sine or cosine functions.