Mathematics

Write the following function w.r.t $$x$$.
$$\dfrac {\cos x}{1-\sin x}$$


SOLUTION
According to question,

$$\int \dfrac{cosx}{1-sinx}dx$$

Let,   $$1-sinx=t$$

$$\implies -cosx.dx=dt$$

$$\implies -\int\dfrac{dt}{t}$$

$$\implies -lnt+C$$

$$\implies  -ln(1-sinx)+C$$
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Subjective Medium Published on 17th 09, 2020
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