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Find the value: 1 + tan15°tan75° 1. sec215° 2. sec275° 3. 24. \(1 + {{1 + \sqrt 3} \over 2}\) |
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Answer» Correct Answer - Option 3 : 2 Formula used: tanθ = cot(90° – θ) cotθ = 1/tanθ Calculation: tan75° = cot(90° – 75°) ⇒ tan75° = cot15° cot15° = 1/tan15° We have to find the value of 1 + tan15°tan75° ⇒ 1 + tan15° × cot15° ⇒ 1 + tan15°/tan15° ⇒ 1 + 1 = 2 ∴ The value of the given expresison is 2 |
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