What is the derivative of $f(x)=cosx/cscx$ ?

Question

2249 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-10-30T10:51:32

$d/dx (cosx/(cosecx))=(-sinx*cosecx+cosx*cosecx*cotx)/(cosec^2x)$

Application of the quotient rule for differentiation yields

$d/dx (cosx/(cosecx))=(-sinx*cosecx+cosx*cosecx*cotx)/(cosec^2x)$

What is the derivative of f(x)=cosx/cscx f(x)=cosx/cscx?