cos 45° cos 30° + sin 45° sin 30°
Since cos 45° = 1/√2 = sin 45°
cos 30° = √3/2
sin 30° = 1/2
∴ cos 45° cos 30° + sin 45° sin 30° = (1/√2)×(√3/2) + (1/√2)(1/2)
= (√3 / 2√2) + (1 / 2√2)
= (√3 + 1) / (2√2)
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Generated by AI. May contain inaccuracies — always verify with your textbook.
