Question

$\textbf{Solve this}$

$\textbf{Tan6°Tan42°Tan66°Tan78°}$​

Answer 1

Answer:

Solution:- Use Trigonometric Identity

tanx * tan(60 - x) * tan(60 + x) = tan(3x)

set x = 6 tan6 * tan54 * tan66 = tan18 .................... ((1)) Similarly, set x = 18 tan18 * tan42 * tan78 = tan54 ...................... ((2)) ((1)) * ((2)): tan6 * tan54 * tan66 * tan18 * tan42 * tan78 = tan18 * tan54 tan6 * tan66 * tan42 * tan78=1

Answer 2

Answer:

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