alleryStart learning →The value of $\sin^2 30^\circ + \cos^2 30^\circ$ is
A0
B$\dfrac{1}{2}$
C1
D$\dfrac{\sqrt3}{2}$
Answer & Solution
Correct answer: C. 1
1. By the identity $\sin^2 A + \cos^2 A = 1$ for any angle A.
2. With $A = 30^\circ$: $\left(\tfrac12\right)^2 + \left(\tfrac{\sqrt3}{2}\right)^2 = \tfrac14 + \tfrac34 = 1$.
3. So the value is 1.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch11 'Introduction to Trigonometry', §11.4_
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