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Trigonometrical Equations
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समीकरण $\left| {\,\begin{array}{*{20}{c}}{\cos \theta }&{\sin \theta }&{\cos \theta }\\{ - \sin \theta }&{\cos \theta }&{\sin \theta }\\{ - \cos \theta }&{ - \sin \theta }&{\cos \theta }\end{array}\,} \right| = 0$ का व्यापक हल होगा
A
$\theta = n\pi $
B
$\theta = 2n\pi \pm \frac{\pi }{2}$
C
$\theta = n\pi \pm {( - 1)^n}\frac{\pi }{4}$
D
$\theta = 2n\pi \pm \frac{\pi }{4}$
Solution
सारणिक हल करने के पश्चात्, $2\cos \theta = 0$
$\Rightarrow$ $\theta = 2n\pi \pm \frac{\pi }{2}$.
Standard 11
Mathematics