Question
Download Solution PDFयदि cosec θ + cot θ = \(\frac{3}{2}\) है, तब cosec θ का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है :
cosec θ + cot θ = 3/2
प्रयुक्त सूत्र :
cosec2θ - cot2θ = (cosec θ + cot θ)(cosec θ - cot θ) = 1
गणना :
cosec θ + cot θ = 3/2 ....(1)
cosec θ - cot θ = 2/3 ....(2)
समीकरण 1 और 2 को हल करने पर, हमें प्राप्त होता है:
2cosec θ = 13/6
⇒ cosec θ = 13/12
∴ cosec θ का मान 13/12 है।
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