Find the general solution of the differential equations `(dy)/(dx)=(1-cosx)/(1+cosx)`

Explanation

It is given that

`frac{d y}{d x}=\frac{1-\cos x}{1+\cos x}`

`frac{d y}{d x}=\frac{2 \sin ^{2} \frac{x}{2}}{2 \cos ^{2} \frac{x}{2}}=\tan ^{2} \frac{x}{2}`

`frac{d y}{d x}=\sec ^{2} \frac{x}{2}-1`

`d y=(\sec ^{2} \frac{x}{2}-1) d x`

Now, integrating both sides of the equation,

we get, `int d y=int(\sec ^{2} \frac{x}{2}-1) d x`

`int d y=\int \sec ^{2} \frac{x}{2} d x-\int d x`

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