log-e-1-cox-1-cosx-differentiate-w-r-t-x-

Question Number 19860 by vivek last updated on 16/Aug/17

\log_{e} \sqrt{\frac{1 - c o x}{1 + c o s x} d i f f e r e n t i a t e w . r . t x}

Answered by myintkhaing last updated on 17/Aug/17

\frac{d}{dx} (\log_{e} \frac{\sin x}{1 + \cos x})

= (\frac{1 + \cos x}{\sin x}) (\frac{(1 + \cos x) \cos x - \sin x (- \sin x)}{{(1 + \cos x)}^{2}})

= \frac{1}{\sin x} = cosec x

Commented by myintkhaing last updated on 16/Aug/17

we use in our country \dots

sine \to \sin cosecant \to cosec

cosine \to \cos secant \to \sec

tangent \to \tan cotangent \to \cot

Commented by Joel577 last updated on 17/Aug/17

\frac{1}{\sin x} = cosec x

Commented by vivek last updated on 17/Aug/17

s i r a n s w e r i s c o s e c x

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