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The value of \(\sin^2 30° + \cos^2 60°\) is:

  • A.1/2
  • B.3/4
  • C.1
  • D.1/4

Answer: A

\[ \sin 30^{\circ} = \frac{1}{2}, \qquad \cos 60^{\circ} = \frac{1}{2} \]

\[ \left(\frac{1}{2}\right)^{2} + \left(\frac{1}{2}\right)^{2} = \frac{1}{4} + \frac{1}{4} = \frac{1}{2} \]

The Pythagorean identity does not apply here: it needs the same angle in both terms, and 30° and 60° are different.

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