Question

What are all the solutions (in exact values) to tan x = 1/4 [-π,π] ?

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Answer 1

9514 1404 393

Answer:

• arctan(1/4)
• arctan(1/4) -π

Explanation:

The inverse tangent of 1/4 is an irrational number, only expressible exactly as ...

arctan(1/4)

This is a first-quadrant angle. There is a matching third-quadrant angle with the same tangent:

arctan(1/4) -π