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Prove that cos^2 75° + cos^2 15° = 1

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Prove that cos2 75° + cos2 15° = 1

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cos2 75° + cos2 15° = 1

LHS = cos2 75° + cos2 15°

= cos2 75° + cos2 (90 – 75)°

= cos2 75° + sin2 75°

= 1= RHS

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