cot sin cos

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if 0<x<90, so what is cotx/(sinx.cosx)

Guest May 27, 2014

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Best Answer

cotx/(sinx.cosx)

$$\frac{cosx}{sinx}\div (sinxcosx)\\\\
=\frac{cosx}{sinx}\times \frac{1}{sinxcosx}\\\\
=\frac{1}{sin^2x}\\\\
=cosec^2x$$

Melody May 28, 2014

Melody · Answer 1 · 2014-05-28T11:52:19

cotx/(sinx.cosx)

$$\frac{cosx}{sinx}\div (sinxcosx)\\\\
=\frac{cosx}{sinx}\times \frac{1}{sinxcosx}\\\\
=\frac{1}{sin^2x}\\\\
=cosec^2x$$