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Find the General Solution of the Following Equation: Cos 3 X = 1 2

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प्रश्न

Find the general solution of the following equation:

\[\cos 3x = \frac{1}{2}\]
योग
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उत्तर

We have:

\[\cos3x = \frac{1}{2}\]

⇒ \[\cos3x = \cos \frac{\pi}{3}\]

⇒ \[3x = 2n\pi \pm \frac{\pi}{3}\]

\[n \in Z\]

⇒ \[x = \frac{2n\pi}{3} \pm \frac{\pi}{9}\]

\[n \in Z\]
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अध्याय 11: Trigonometric equations - Exercise 11.1 [पृष्ठ २१]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 11 Trigonometric equations
Exercise 11.1 | Q 2.02 | पृष्ठ २१

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