what is the derivative of sinx/cosx
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sinx
-------- =tanx
cosx
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-------- =tanx
cosx
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this is your answer
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Answer: - 1 / cos^2x
Step-by-step explanation:
[ Sinx d( cos x) /dx - cos x d ( sin x )/ dx] / ( cos x^2 )
=> [sinx ( - sinx ) - cos x ( cos x )] / cos^2x
=> ( - sin^2 x - cos^2 x ) / cos^2 x
=> - 1 ( sin^2 x + cos^2x ) / cos^2x
=> - 1 / cos^2 x
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