Question

If
$4{sin}^{2} x = 1$
then find the value of x?​

Answer 1

Step-by-step explanation:

$\huge\underline{\underline{\ Question}}$

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$4 { \sin }^{2} (x) = 1 \\ find \: (x)$

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$\huge\underline{\underline{\ Answer}}$

$\implies 4 { \sin}^{2} (x) = 1 \\ \implies { \sin}^{2} (x) = \frac{1}{4} \\ \implies \sin(x) = \frac{1}{2} \\ \implies \huge \boxed{(x) = 30 = \frac{\pi}{6} }$

Answer 2

Answer :

$\large \sf \star \: \: x = \frac{\pi}{6}$

Solution :

$\sf \hookrightarrow 4{sin}^{2} (x) = 1 \\ \\\sf \hookrightarrow {sin}^{2} (x) = \frac{1}{4} \\ \\\sf \hookrightarrow sin( x) = \frac{1}{2} \\ \\\sf \hookrightarrow sin( x) = sin( \frac{\pi}{6} ) \\ \\\sf \hookrightarrow x = \frac{\pi}{6}$

Hence , the value of x is π/6