Question : Evaluate the following.
$\sin 25° \sin 65° – \cos 25° \cos 65°$
Option 1: 4
Option 2: 1
Option 3: 0
Option 4: 40
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Answer (1)
24th Jan, 2024
Correct Answer: 0
Solution :
$\sin 25° \sin 65° - \cos 25° \cos 65°$
$=\sin 25° \sin(90° - 25°) - \cos 25° \cos(90° - 25°)$
$=\sin 25° \cos 25° - \cos 25° \sin 25°$
$=0$
Hence, the correct answer is 0.
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