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The value of tan24.tan48.tan42.tan66 is. |
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Answer» Correct Answer - Option 4 : 1 Given: tan24.tan48.tan42.tan66 Formula used: tanθ = cot(90 – θ) tanθ = 1/(cotθ) Calculation: tan48 = cot(90 – 48) = cot42 tan66 = cot (90 – 66) = cot24 Now we have tan24.cot24.tan42.cot42 ⇒ tan24.(1/tan24).tan42.(1/tan42) = 1 ∴ The value of tan24.tan48.tan42.tan66 is 1. |
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