Question

Differentiation of cotx/cosecx

Answer 1

Explanation:

d/dx(cotx/cosecx)=cosecx.d/dx(cotx)+cotx.d/dx(

cscx)

=cosecx.-cosec²x-cotx.-cotx cosecx/cosec²x

=cosecx(-cosec²x+cot²x)/cosec²x

=(-1-cot²x+cot²x)/cosecx

=(-1)/cosecx