Difference between revisions of "Derivative of cosine"

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<strong>[[Derivative of cosine|Proposition]]:</strong> $\dfrac{d}{dx}$[[Cosine|$\cos(x)$]]$= -$[[Sine|$\sin$]]$(x)$
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<strong>[[Derivative of cosine|Theorem]]:</strong> The following formula holds:
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$$\dfrac{\mathrm{d}}{\mathrm{d}x} \cos(x) = -\sin(x),$$
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where $\cos$ denotes the [[cosine]] and $\sin$ denotes the [[sine]].
 
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<strong>Proof:</strong> █  
 
<strong>Proof:</strong> █  
 
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Revision as of 19:13, 24 May 2016

Theorem: The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}x} \cos(x) = -\sin(x),$$ where $\cos$ denotes the cosine and $\sin$ denotes the sine.

Proof: