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Trigonometry · Trigonometric-Equations

Solve tan(x) = 1

\tan{\left(x \right)} = 1

Step by step

  1. \tan{\left(x \right)} = 1

    Start from the equation as given.

  2. \tan{\left(x \right)} - 1 = 0

    Bring everything to one side.

  3. \tan{\left(x \right)} - 1 = 0

    Isolate the trig function, then read the reference angle off the unit circle. Solutions repeat every period.

  4. \left\{n \pi + \frac{\pi}{4}\; \middle|\; n \in \mathbb{Z}\right\}

    General solution over the reals (n is any integer).

  5. x = \frac{\pi}{4} \approx 0.78540

    Solve for the variable.

Reveal the answer
x = \frac{\pi}{4}