We have an answer to "cot⁡2(sin⁡(θ)) Find the derivative."

midtlinjeg

Answered question

2021-09-05

\cot 2 (\sin (θ))

Find the derivative.

Usamah Prosser

Skilled2021-09-06Added 86 answers

y = \cot 2 (\sin (θ))

\frac{d y}{d t h η} = \frac{d}{d t h η} (\cot^{2} (\sin (θ)))

= 2 \cot (\sin (θ)) \times \frac{d}{d t h η} (\cot (\sin (θ)))

= 2 \cot (\sin (θ)) \times {- \csc^{2} (\sin (θ))} \times \frac{d}{d t h η} (\sin θ)

= - 2 \cot (\sin (θ)) \times - \csc^{2} (\sin (θ)) \times \cos θ

= - 2 \csc^{2} (\sin (θ)) \times \csc^{2} (\sin (θ)) \times \cos θ

= - 2 \csc^{2} (\sin (θ)) \times \cot (\sin (θ)) \times \cos θ

Thus

\frac{d y}{d t h η} = - 2 \csc^{2} (\sin (θ)) \times \cot (\sin (θ)) \times \cos θ

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