Trigonometry/Derivative of Cosine

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To find the derivative of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): \cos(x) .

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As in the proof of Derivative of Sine, the limit of the first term is and the limit of the second term is 1. Thus

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Thus

and so on for ever.