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Trigonometrical Equations
easy
સમીકરણ $\cos \theta + \sqrt 3 \sin \theta = 2$ નું સમાધાન કરે તેવા $\theta $ નો ઉકેલ મેળવો.
A
$\frac{\pi }{3}$
B
$\frac{{5\pi }}{3}$
C
$\frac{{2\pi }}{3}$
D
$\frac{{4\pi }}{3}$
Solution
(a) $\sin \left( {\theta + \frac{\pi }{6}} \right) = 1 = \sin \left( {\frac{\pi }{2}} \right) $
$\Rightarrow \theta = \frac{\pi }{2} – \frac{\pi }{6} = \frac{\pi }{3}$.
Standard 11
Mathematics
