1. Find the derivatives of the functions sin x, cos x, tan x, sec x, cot x and cosec x. 2. Find the derivatives of the functions sin u, cos u, tan u, sec u, cot u and cosec u. 3. Use the derivatives of Learning Outcomes :

REMEMBER

Differentiation of Trigonometric Function

Note: The above differentiation of trigonometric functions are only true for angles which are measured in radians.

To prove when y=sinx, dy/dx=cos x, IMPORTANT!!!

Since f(x)=sinx

Differentiation of Trigonometric Function f(x) f(x)

1.Differentiate using power rule 2.Differentiate trigonometric function 3.Differentiate f(x) Differentiation of Trigonometric Function:

Example 1 :

Solution:

Example 2 : Find the derivatives of : a) sin ( ln x )

Solution:

Differentiate each of the following functions with respect to x. Example 3 :

Solution:

1.Differentiate using power rule 2.Differentiate trigonometric function 3.Differentiate f(x) Differentiation of Trigonometric Function: