Question

find the value of cosec 2x​

Answer 1

find the value of cosec 2x

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Answer 2

Answer:

d/dx (csc^2x) = -2cotxcsc^2xddx(csc2x)=−2cotxcsc2x

Explanation:

As:

csc^2x = 1/sin^2xcsc2x=1sin2x

using the chain rule:

d/dx (csc^2x) = -2/sin^3x d/dx sinx = -(2cosx)/sin^3x = -2cotxcsc^2xddx(csc2x)=−2sin3xddxsinx=−2cosxsin3x=−2cotxcsc2x

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