If tan(θ) = 1, what is the value of θ in degrees?

If tan(θ) = 1, what is the value of θ in degrees?

Step 1: Understand that tan(θ) represents the tangent of an angle θ.
Step 2: Recall that the tangent function is defined as the ratio of the opposite side to the adjacent side in a right triangle.
Step 3: Recognize that tan(θ) = 1 means the opposite side and the adjacent side are equal in length.
Step 4: Identify the angle where the opposite and adjacent sides are equal. This occurs at 45° in a right triangle.
Step 5: Conclude that if tan(θ) = 1, then θ must be 45°.

Trigonometric Functions – Understanding the properties and values of trigonometric functions, specifically the tangent function.
Angle Measurement – Knowledge of angle measurement in degrees and the specific angles where trigonometric functions yield certain values.