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If √3cotθ = 1, 0 ≤ θ ≤ 90°, then the value of cos2θ - sin2θ is1. 1/22. -1/23. 1/√24. None of the above |
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Answer» Correct Answer - Option 2 : -1/2 Given √3cotθ = 1 Calculation cotθ = 1/√3 ⇒ θ = 60° ⇒ cos2θ - sin2θ ⇒ cos260 - sin260 ⇒ (1/2)2 - (√3/2)2 ⇒ 1/4 - 3/4 = -2/4 ⇒ -1/2 ∴ The value of cos2θ - sin2θ is -1/2 |
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