Question
Download Solution PDFABC, B पर एक समकोण त्रिभुज है और tan A =
ABC, B पर एक समकोण त्रिभुज है और tan A =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
ΔABC, B पर एक समकोण त्रिभुज है और tan A =
प्रयुक्त अवधारणा:
1. tan θ = ऊँचाई ÷ आधार
2. sin θ = ऊँचाई ÷ कर्ण
3. पाइथागोरस प्रमेय के अनुसार "एक समकोण त्रिभुज में, कर्ण भुजा का वर्ग अन्य दो भुजाओं के वर्गों के योगफल के बराबर होता है।"
गणना:
tan A =
⇒
⇒ BC : AB = 3 : 4
माना BC और AB की माप क्रमशः 3k और 4k है।
अवधारणा के अनुसार,
AC2 =
अब, sin A + sin B + sin C
⇒
⇒
⇒
⇒
⇒
∴ sin A + sin B + sin C का मान
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