Question
Download Solution PDFयदि 12tan A = 5 है, cosec A =?
A. 13/5
B. 12/13
C. 5/13
D. 12/5
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है:
12tan A = 5
प्रयुक्त अवधारणा:
त्रिकोणमितीय अनुपात की अवधारणा का उपयोग करने पर,
tanθ = लंब/आधार
cosecθ = कर्ण/लंब
गणना:
12tanA = 5
⇒ tanA = 5/12
tanA = BC/AB
BC/AB = 5/12
ΔABC में,
पाइथागोरस प्रमेय का उपयोग करने पर,
BC2 + AB2 = AC2
⇒ 52 + 122 = AC2
⇒ 25 + 144 = AC2
⇒ AC = √169
⇒ AC = 13
cosecA = AC/BC
⇒ cosecA = 13/5
∴ cosecA का मान 13/5 है।
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