Prove that : 4 (sin4 30° + cos4 60°) - 3 (cos2 45° - sin2 90°) = 2

Question

KnowledgeBoat · Accepted Answer

4 (sin4 30° + cos4 60°) - 3 (cos2 45° - sin2 90°) = 2 L.H.S. = 4 (sin4 30° + cos4 60°) - 3 (cos2 45° - sin2 90°) R.H.S. = 2 ∴ L.H.S. = R.H.S. Hence, 4 (sin4 30° + cos4 60°) - 3 (cos2 45° - sin2 90°) = 2.

Mathematics

Prove that :
4 (sin⁴ 30° + cos⁴ 60°) - 3 (cos² 45° - sin² 90°) = 2

Trigonometric Identities

Related Questions

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