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Mathematics

Evaluate:

sin 42° sin 48° - cos 42° cos 48°

Trigonometric Identities

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Answer

sin 42° sin 48° - cos 42° cos 48°

= sin (90° - 48°) sin 48° - cos (90° - 48°) cos 48°

= cos 48° sin 48° - sin 48° cos 48°

= 0

Hence, sin 42° sin 48° - cos 42° cos 48° = 0.

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