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Question
The value of sin2 65° + sin2 25° is ______.
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Solution
The value of sin2 65° + sin2 25° is ______.
Explanation:
sin2 65° + sin2 25°
= sin2 65° + {sin 25°}2
= sin2 65° + {sin (90° – 65°)}2
= sin2 65° + cos2 65° ...[∵ sin(90° – θ) = cos θ]
= 1 ...[∵ sin2θ + cos2θ = 1]
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