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Trigonometrical Equations
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$\theta $ ની વ્યાપટ કિમત મેળવો કે જેથી બંને સમીકરણો $cot^3\theta + 3 \sqrt 3 $ = $0$ & $cosec^5\theta + 32$ = $0$ નું સમાધાન થાય. $(n \in I)$
A
$2n\pi - \frac{\pi }{6}$
B
$n\pi - \frac{\pi }{6}$
C
$n\pi - {\left( { - 1} \right)^n}\frac{\pi }{6}$
D
$n\pi + \frac{\pi }{3}$
Solution
$\cot \theta=-\sqrt{3} \Rightarrow \theta=n \pi-\frac{\pi}{6}$
$\cos ec\theta = – 2 \Rightarrow \theta = n\pi – {( – 1)^{n + 1}}\frac{\pi }{6}$
$\Rightarrow \theta \text { is in } \mathrm{IV} \text { quadrant } \Rightarrow \theta=2 \mathrm{n} \pi-\frac{\pi}{6}$
Std 11
Mathematics
