Home » The derivative of cosec x is

The derivative of cosec x is

The derivative of cosec x is

  • A.
    tan x cosec x
  • B.
    -cot x cosec x
  • C.
    tan x sec x
  • D.
    -cot x sec x
Correct Answer: Option B
Explanation

(csc x = frac{1}{sin x})

Using the quotient rule,

(frac{mathrm d y}{mathrm d x} = frac{vdu – udv}{v^{2}})

= (frac{sin x (0) – 1 (cos x)}{(sin x)^{2}})

= (frac{- cos x}{sin^{2} x})

= ((frac{- cos x}{sin x}) (frac{1}{sin x}))

= (- cot x csc x)

Related:  If the second and fourth term of a G.P are 8 and 32 respectively,what is...