Question

Rewrite the six trigonometric functions of theta in termsn of sin and or cosine of the reference anfle, sketch botht eh given angle and reference angle on the curcle.

Answer 1

There are mainly six trigonometric functions for right angle triangle which are

1. sinФ
2. cosФ
3. tanФ
4. cosecФ
5. secФ
6. cotФ

All of these can be expressed in the form of sinФ and cosФ as following:

1. sinФ = sinФ
2. cosФ = cosФ
3. tanФ = sinФ/cosФ
4. cosecФ = 1/sinФ
5. secФ = 1/cosФ
6. cotФ = cosФ/sinФ

This angle Ф is shown in the attached drawing in a right angle triangle drawn within a circle which is the given angle. Right angle is mentioned as "90".