Question

derivatives of cosecx.cotx​

Answer 1

Use Trigonometric Differentiation: the derivative of cot ⁡ x \cot{x} cotx is − csc ⁡ 2 x -\csc^{2}x −csc2x.

Step-by-step explanation:

Integration of Cscx Cotx

1The integration of cosecant cotangent is of the form

2As we know that by definition integration is the inverse process of the derivative, so the integral sign ∫and ddx on the right side will cancel each other out.

3.∫cscf(x)cotf(x)f′(x)dx=–cscf(x)+c.

4.Example: Evaluate the integral ∫csc9xcot9xdx with respect to x.