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  • Find the value of $\sin^2 30^\circ + \cos^2 30^\circ$

Find the value of $\sin^2 30^\circ + \cos^2 30^\circ$

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best_answer

As,

  • $\sin 30^\circ = \frac{1}{2}$
  • $\cos 30^\circ = \frac{\sqrt{3}}{2}$

Now square both values:
$\sin^2 30^\circ = \left( \frac{1}{2} \right)^2 = \frac{1}{4}$
$\cos^2 30^\circ = \left( \frac{\sqrt{3}}{2} \right)^2 = \frac{3}{4}$

So, $\sin^2 30^\circ + \cos^2 30^\circ = \frac{1}{4} + \frac{3}{4} = \frac{4}{4} = 1$
 

Posted by

Saniya Khatri

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