Question
Download Solution PDFयदि tan A =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
दिया गया है, tan A = 7/24, इसका अर्थ है कि:
विपरीत भुजा (sin A) / आसन्न भुजा (cos A) = 7/24
पाइथागोरस प्रमेय द्वारा,
कर्ण = √((विपरीत भुजा)2 + (आसन्न भुजा)2)
कर्ण = √((7)2 + (24)2)
कर्ण = √(49 + 576)
कर्ण = √(625)
कर्ण = 25
इसलिए, अब हमारे पास 7 (विपरीत), 24 (आसन्न), और 25 (कर्ण) भुजाओं वाला एक समकोण त्रिभुज है।
sin A = विपरीत/कर्ण = 7/25
cos A = आसन्न/कर्ण = 24/25
तब, sin A + cos A = 7/25 + 24/25 = 31/25
इसलिए, sin A + cos A का मान 31/25 है।
Last updated on Jan 29, 2025
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