3 years ago

What is the answer to this question ??????????

Mathematics

1 answer:

noname [10]3 years ago

6 0

The answer is because the LCD of 4 and 10 is 20.

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$\dfrac{1-\cos 2x}{1+\cos 2x}$

To find:

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We need to find the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ .

Let us consider,

$I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx$

$I=\int \dfrac{2\sin^2x}{2\cos^2x}dx$ $[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]$

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$I=\int \tan^2xdx$ $\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]$

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$I=\tan x-x+C$

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