Solve: ${sin}^{2} x + {sin}^{2} 30^{0} = 1$

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Solution

${sin}^{2} x + {sin}^{2} 30 = 1$
${sin}^{2} x + (\frac{1}{2})^{2} = 1$
${sin}^{2} x + \frac{1}{4} = 1$
${sin}^{2} x = \frac{3}{4}$
$sin x = \frac{\sqrt{3}}{2}$
$sin x = sin 60$
$x = 60^{\circ}$

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