Difference between revisions of "Derivative of cosecant"

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<strong>[[Derivative of cosecant|Proposition]]:</strong> $\dfrac{d}{dx}$[[Cosecant|$\csc$]]$(x)=-$[[Cotangent|$\cot$]]$(x)\csc(x)$
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<strong>[[Derivative of cosecant|Proposition]]:</strong> The following formula holds:
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$$\dfrac{\mathrm{d}}{\mathrm{d}z} \csc(z)=- \cot(z)\csc(z),$$
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where $\csc$ denotes the [[cosecant]] function and $\cot$ denotes the [[cotangent]] function.
 
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<strong>Proof:</strong> █  
 
<strong>Proof:</strong> █  
 
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Revision as of 04:26, 8 February 2016

Proposition: The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}z} \csc(z)=- \cot(z)\csc(z),$$ where $\csc$ denotes the cosecant function and $\cot$ denotes the cotangent function.

Proof: