Question
Download Solution PDFयदि cot \(A = {12 \over5}\) है, तो sin A का मान = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
cot \(A = {12 \over5}\)
प्रयुक्त सूत्र:
(कर्ण)2 = (लंब)2 + (ऊंचाई)2
परिकलन:
⇒ cot A = आधार /लम्ब = 12/5
⇒ लम्ब की लम्बाई = 5
⇒ आधार की लंबाई = 12
उपरोक्त सूत्र का उपयोग करके,
⇒ (कर्ण)2 = (लंब)2 + (ऊंचाई)2
⇒ (कर्ण)2 = 52 + 122 = 25 + 144 = 169
⇒ कर्ण = \(\sqrt{169}\) = 13
⇒ Sin A =लम्ब/ कर्ण = 5/13
⇒ अत: sin A का मान 5/13 है।
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