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Prove that: cos 7π/12 + cos π/12 = sin 5π/12 – sin π/12
⇒ 7π/12 = 105°, π/12 = 15°; 5π/12 = 75°
LHS = cos 105° + cos 15°
= cos(90° + 15°) + sin(90° - 75°)
= -sin 15° + sin 75°
= sin 75° - sin 15° = RHS
Hence proved.
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