Mathematics
Evaluate:
sin 15° cos 15° - cos 75° sin 75°
Trigonometric Identities
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Answer
sin 15° cos 15° - cos 75° sin 75°
= sin (90° - 75°) cos (90° - 75°) - cos (90° - 15°) sin 75°
= cos 75° sin 75° - cos 75° sin 75°
= 0
Hence, sin 15° cos 15° - cos 75° sin 75° = 0.
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