Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. √3
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Concept |
Understanding |
Application |
Fair calculation |
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Cot2θ = cos2θ /sin2θ 1 – sin2θ = cos2θ |
Given Cos2θ/(Cot2θ – Cos2θ) = 3
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Cos2θ/(Cot2θ – Cos2θ) = 3 Using the formula: ⇒ Sin2θ/(1 – sin2θ) = 3 ⇒ Sin2θ/cos2θ = 3 ⇒ tan2θ = 3 ⇒ tanθ = √3 ⇒ θ = 60° So, cot 60° + cosec60° = 1/√3 + 2/√3 = √3 |
= 1/√3 + 2/√3 = 3/√3 = √3 |