Y- 2cosx cosx-3 find x

y=2cos xcos x 3 ⇒ ycos x 3y=2cos x ⇒ ycos x 2cos x=3y ⇒cos x(y 2)=3y ⇒cos x=3yy 2 ⇒ x=cos^1(3yy 2) . ...

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Byju's Answer

Standard XII

Mathematics

How to Find the Inverse of a Function

y= 2cosx cosx...

Question

$y = \frac{2 c o s x}{c o s x - 3}$ find x

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Solution

$y = \frac{2 cos x}{cos x - 3}$
$\Rightarrow y cos x - 3 y = 2 cos x$
$\Rightarrow y cos x - 2 cos x = 3 y$
$\Rightarrow cos x (y - 2) = 3 y$
$\Rightarrow cos x = \frac{3 y}{y - 2}$
$\Rightarrow x = {cos}^{1} (\frac{3 y}{y - 2})$ .

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y=2cosxcosx−3 find x

y=2cosxcosx−3⇒ycosx−3y=2cosx⇒ycosx−2cosx=3y⇒cosx(y−2)=3y⇒cosx=3yy−2⇒x=cos1(3yy−2).

$y = \frac{2 c o s x}{c o s x - 3}$ find x

$y = \frac{2 cos x}{cos x - 3}$
$\Rightarrow y cos x - 3 y = 2 cos x$
$\Rightarrow y cos x - 2 cos x = 3 y$
$\Rightarrow cos x (y - 2) = 3 y$
$\Rightarrow cos x = \frac{3 y}{y - 2}$
$\Rightarrow x = {cos}^{1} (\frac{3 y}{y - 2})$ .