Discussion
The value of \(\sin^2 25° + \sin^2 65°\) is:
Answer: B
We use the complementary angle identity \(\sin(90° - \theta) = \cos \theta\).
\(\sin 65° = \sin(90° - 25°) = \cos 25°\).
The expression becomes \(\sin^2 25° + \cos^2 25°\).
Using the Pythagorean identity \(\sin^2 A + \cos^2 A = 1\), the value is 1.
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