Question
Download Solution PDFयदि \(\rm \cot A=\frac{12}{5}\) है, तो (sin A + cos A) × cosec A का मान _______ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
Cot A = 12/5
प्रयुक्त सूत्र:
पाइथागोरस प्रमेय:
H2 = P2 + B2
Cot A = B/P ; sin A = P/H ; cos A = B/H ; cosec A = H/P
जहाँ, H = कर्ण; P = लंब; B = आधार
गणना:
Cot A = 12/5 = B/P
पाइथागोरस प्रमेय का उपयोग करने पर:
H2 = P2 + B2
⇒ H2 = (5)2 + (12)2
⇒ H = √(25 + 144) = √169
⇒ H = 13 सेमी
अब,
(sin A + cos A) × cosec A
⇒ {(5/13) + (12/13)} × 13/5
⇒ (17/13) × (13/5) = 17/5
∴ सही उत्तर 17/5 है।
Last updated on Jul 12, 2025
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