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

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