Question
Download Solution PDFयदि {(3 sin θ – cos θ) / (cos θ + sin θ)} = 1 है, तो cot θ का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
{(3Sinθ - Cosθ)/(Cosθ + Synθ)} = 1
गणना:
हमारे पास एक त्रिकोणमितीय समीकरण है
{(3Sinθ - Cosθ)/(Cosθ + Synθ)} = 1
अंश और हर को Sinθ से विभाजित करने पर, हमें प्राप्त होता है
⇒ [{(3sinθ – cosθ)/Sinθ}/{(cosθ + sinθ)/sinθ}] = 1
⇒ {(3 – cotθ)/(cotθ + 1)} = 1
⇒ 3 – cotθ = 1 + cotθ
⇒ 2cotθ = 2
cotθ = 1
मान 1 है।
Last updated on Jul 17, 2025
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