Pre Calculus Question

Question

2tanx/1-tan^2x = 1/square root of 3; what are the values of x

Answer 1

tan(A + B) = [tanA + tanB] / [1 - tanAtanB]

So, if A = B = x, your equation is equivalent to tan(2x) = 1 / √3

Solve for x.

Answer 2

2x = tan¹(1/√3)

2x = π/6 + kπ, k any integer

x = π/12 + kπ/2, k any integer

x = π/12 + 6kπ/12 , k any int

x = (6k+1)π/12

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