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Trigonometric Equations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsTrigonometric Equations2 Marks
Question
Find the general solutions of the following equations:
$\cos3\text{x}=\frac{1}{2}$
✓

Answer

we have,
$\cos3\text{x}=\frac{1}{2}$
$\Rightarrow\cos\text{x}=\cos\Big(\frac{\pi}{3}\Big)$
$\Rightarrow3\text{x}=2\text{n}\pi\pm\frac{\pi}{3},\text{n}\in\text{Z}$
$\Rightarrow\text{x}=2\text{n}\frac{\pi}{3}\pm\frac{\pi}{9},\text{n}\in\text{Z}$

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