Given data: nbsp;cos x = 12 ⇒cos x = cosπ3 ∴ General solution is x = 2 n π±π3, where n∈ℤ ...

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Standard XII

Mathematics

Equations with Solutions at Boundary Values

Solve cos x =...

Question

Solve $cos x = \frac{1}{2}$

Name: NCERT - Grade 11 - Mathematics - Trigonometric Functions - Q63
Uploaded: 2022-07-04T10:36:42+05:30
Description: Given data: nbsp;cos x = 12 ⇒cos x = cosπ3 ∴ General solution is x = 2 n π±π3, where n∈ℤ ...

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Solution

Given data: $cos x = \frac{1}{2}$
$\Rightarrow cos x = cos \frac{π}{3}$
$∴$ General solution is $x = 2 n π \pm \frac{π}{3},$ where $n \in Z$

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Equations with Solutions at Boundary Values

Standard XII Mathematics

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Solve cosx=12

Given data: cosx=12 ⇒cosx=cosπ3 ∴ General solution is x=2nπ±π3, where n∈Z

Solve $cos x = \frac{1}{2}$

Given data: $cos x = \frac{1}{2}$
$\Rightarrow cos x = cos \frac{π}{3}$
$∴$ General solution is $x = 2 n π \pm \frac{π}{3},$ where $n \in Z$