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Trigonometric Equations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometric Equations2 Marks
Question
Find the general solutions of the following equations:
$\sec\text{x}=\sqrt{2}$
✓

Answer

we have,
$\sec\text{x}=\sqrt{2}$
$\Rightarrow\frac{1}{\cos\theta}=\sqrt{2}$
$\Rightarrow\cos\theta=\frac{1}{\sqrt{2}}\Rightarrow\cos\theta=\cos\frac{\pi}{4}$
$\Rightarrow\theta=2\text{n}\pi\pm\frac{\pi}{4},\text{n}\in\text{z}$

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