1.

The value of tan24.tan48.tan42.tan66 is.

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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