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

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SUMMARY

The equation tg(4x) = 1 has been correctly solved with the general solution expressed as 4x = 45° + n * π, leading to x = 11.25° + n * (π/4). This confirms that the solutions provided are accurate and adhere to the properties of the tangent function. The periodic nature of the tangent function is utilized effectively in deriving the general solution.

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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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