The general solution of the equation cos x-1-2 is x-

The correct option is A 2nπ±π4The general solution of cos x = cosα is x = 2nπ±α Here, the equation is cos x = 1/√(2) ⇒cos x = cosπ/4 ⇒ x = 2nπ±π/4 ...

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Standard XI

Mathematics

General Solution of Cos theta = Cos alpha

The general s...

Question

The general solution of the equation $cos x = \frac{1}{\sqrt{2}}$ is x= .

2nπ±π4

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nπ+-1nπ4

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nπ±π4

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Solution

The correct option is A 2nπ±π4
The general solution of $cos x = cos α$ is
$x = 2 n π \pm α$

Here, the equation is $cos x = \frac{1}{\sqrt{2}}$
$\Rightarrow cos x = cos \frac{π}{4}$

$\Rightarrow x = 2 n π \pm \frac{π}{4}$

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The general solution of the equation cosx=1√2 is x= .

The correct option is A 2nπ±π4The general solution of cosx=cosα is x=2nπ±α Here, the equation is cosx=1√2 ⇒cosx=cosπ4 ⇒x=2nπ±π4

The general solution of the equation $cos x = \frac{1}{\sqrt{2}}$ is x= .

The correct option is A 2nπ±π4
The general solution of $cos x = cos α$ is
$x = 2 n π \pm α$

Here, the equation is $cos x = \frac{1}{\sqrt{2}}$
$\Rightarrow cos x = cos \frac{π}{4}$

$\Rightarrow x = 2 n π \pm \frac{π}{4}$