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The solution of 3tan2x − 1 = 0 if x is in the first quadrant is

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taskmasters taskmasters

19-03-2017

The equation is
3 tan2x - 1 = 0
The condition is that x is in the first quadrant or it has a positive angle and is less than 90 degrees.
Solving the equation
3 tan2x = 1
tan2x = 1/3
2x = tan⁻¹ (1/3)
x = tan⁻¹ (1/3) / 2
x = 9.22 degrees

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