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If 2sec2θ + tan2θ = 17 then find the value of cotθ. 1. √52. (1/√5)3. √34. (1/√3) |
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Answer» Correct Answer - Option 2 : (1/√5) Given 2sec2θ + tan2θ = 17 Concept Sec2θ - tan2θ = 1 Sec2θ = 1 + tan2θ Cotθ = (1/tanθ) Calculation We have 2sec2θ + tan2θ = 17 ⇒ 2(1 + tan2θ ) + tan2θ = 17 ⇒ 2 + 2tan2θ + tan2θ = 17 ⇒ 3tan2θ = 15 ⇒ tan2θ = (15/3) ⇒ tan2θ = 5 ⇒ tanθ = √5 ⇒ cotθ = (1/√5) ∴ Cotθ = (1/√5) |
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