trigonometry · worked example

Solve tan(45°)

Method: special angle. Verified step-by-step solution with our free AI math solver.
Problem

tan(45°)\tan(45°)

Step-by-step solution

  1. 45°45° corresponds to the 45-45-90 isosceles right triangle.

  2. Both legs are equal, so opposite/adjacent = 11.

  3. Therefore tan(45°)=1\tan(45°) = 1.

  4. Equivalently, on the unit circle at 45°45°: sin=cos=22\sin = \cos = \frac{\sqrt{2}}{2}, so tan=sin/cos=1\tan = \sin/\cos = 1.

Answer

tan(45°)=1\tan(45°) = 1

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