# Differentiation of Trigonometric Functions, Objectives, Derivative of Trigonometric Function from First Principle, Derivative of Trigonometric Function

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## Objectives

After studying this lesson, you will be able to:

## Derivative of Trigonometric Function from First Principle

(1)

(2)

(3)

(4)

Similarity

Example:

Find the derivative of from first principle

Solution:0

Let

And

Then

Now,

## Derivative of Trigonometric Function

You have learnt how we can find the derivative of a trigonometric function from first principle and also how to deal with these functions as a function of a function as shown in the alternative method.

Example:

Find the derivative of the following functions:

Solution:

Let

where

and

By chain Rule, , we have

Hence,