Question
Download Solution PDFcos (A + B) = cos A cos B - sin A sin B का उपयोग करके, cos75° का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
cos(A + B) = cos A cos B - sin A sin B.
गणना:
Cos 75° = cos (45° + 30°)
⇒ 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
⇒ √2 × (√3 - 1)/(2√2 × √2)
⇒ \(\frac{\sqrt6-\sqrt2}{4}\)
∴ सही उत्तर \(\frac{\sqrt6-\sqrt2}{4}\) है।
Last updated on Jul 19, 2025
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