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If tanθ + cotθ = 2 and θ is acute, then the value of tan100θ + cot100θ is equal to: |
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Answer» Correct Answer - Option 3 : 2 Given: tanθ + cotθ = 2 Calculation: Put the value of θ = 45o, tan45o = 1, and cot45o = 1 Then, tanθ + cotθ = 2 ⇒ tan45o + cot45o = 2 ⇒ 1 + 1 = 2 putting the value θ = 45 in tan100θ + cot100θ ⇒ tan10045 + cot10045 ⇒ 1100 + 1100 ⇒ 2 ∴ The value of tan100θ + cot100θ is 2. |
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