Trigonometric Solutions for tg(4x) = 1: Clarifying Doubts and Correctness

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The equation tg(4x) = 1 leads to the solution 4x = 45° + n * pi, which simplifies to x = 11.25° + n * (pi/4). Participants in the discussion confirm the correctness of this solution. The approach to finding the general solution using the periodicity of the tangent function is validated. Overall, the calculations and reasoning presented are accurate and well-received.
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Homework Statement



tg(4x) = 1

The Attempt at a Solution


I have a doubt about the part I have to add to the result, are these solutions correct ?

4x = 45° + n * pi
x = 11,25° + n * (pi/4)

Thanks
 
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scientifico said:

Homework Statement



tg(4x) = 1

The Attempt at a Solution


I have a doubt about the part I have to add to the result, are these solutions correct ?

4x = 45° + n * pi
x = 11,25° + n * (pi/4)

Thanks

Looks good.
 
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