Question
Download Solution PDFएक आयत की लम्बाई 48 सेमी है और चौड़ाई 14 सेमी है। यदि विकर्ण बड़ी भुजा के साथ θ कोण बनाता है, तब (sec θ + cosec θ) का मान किसके बराबर होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक आयत 48 सेमी लंबा और 14 सेमी चौड़ा है
प्रयुक्त सूत्र:
sec θ = कर्ण/आधार
cosec θ = कर्ण/लंब
पाइथागोरस प्रमेय
(कर्ण)2 = (लंब)2 +(आधार)2
गणना:
त्रिभुज ABC एक समकोण त्रिभुज है:
कर्ण = AC = x =
यहाँ,
Sec θ = AC/AB = 50/48
Cosec θ = AC/BC = 50/14
अतः,
(sec θ + cosec θ) = (50/48) + (50/14) = 1550/336 = 775/168
∴ sec θ + cosec θ का मान 775/168 है
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