Question
Download Solution PDFsin12° sin48° किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
गुणनफल-से-योग सूत्र:
- गुणनफल-से-योग सूत्र साइन और कोसाइन के गुणनफल को योग के रूप में व्यक्त करने के लिए उपयोग किए जाते हैं।
- साइन के लिए, सूत्र निम्नवत है:
\(\sin A \sin B = \frac{1}{2} [ \cos (A-B) - \cos (A+B) ] \)
गणना:
⇒ sin12° . sin48° = \(\frac{2(sin12°.sin48°)}{2}\)
= \(\frac{1}{2} [Cos 36° -Cos60°]\)
= \(\frac{1}{2}[\frac{\sqrt5 +1}{4} -\frac{1}{2}] =\frac{\sqrt5 -1}{8}\)
∴ विकल्प (c) सही है।
Last updated on May 30, 2025
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