The solution of the equation 4 ^2 x + 6 ^2 x = 5 - Vidyadip

MCQ

The solution of the equation $4{\cos ^2}x + 6$${\sin ^2}x = 5$

A
$x = n\pi \pm \frac{\pi }{2}$
✓
$x = n\pi \pm \frac{\pi }{4}$
C
$x = n\pi \pm \frac{{3\pi }}{2}$
D
None of these

✓

Answer

Correct option: B.

$x = n\pi \pm \frac{\pi }{4}$

b
(b) $4 + 2{\sin ^2}x = 5$

$ \Rightarrow $ ${\sin ^2}x = \frac{1}{2} = {\sin ^2}\frac{\pi }{4}$

$\Rightarrow x = n\pi \pm \frac{\pi }{4}$.

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