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Trigonometrical Equations
easy
સમીકરણ $4{\cos ^2}x + 6$${\sin ^2}x = 5$ નો ઉકેલ મેળવો.
A
$x = n\pi \pm \frac{\pi }{2}$
B
$x = n\pi \pm \frac{\pi }{4}$
C
$x = n\pi \pm \frac{{3\pi }}{2}$
D
એકપણ નહિ.
Solution
(b) $4 + 2{\sin ^2}x = 5$
$ \Rightarrow $ ${\sin ^2}x = \frac{1}{2} = {\sin ^2}\frac{\pi }{4}$
$\Rightarrow x = n\pi \pm \frac{\pi }{4}$.
Standard 11
Mathematics