Question

Find two solutions for the equation tan(θ) = 1 between 0​ radians and 2π​ radians ( 0°​ and 360 ° ) and enter them in both radians and degrees as indicated (separated by commas).

Answer 1

The two solutions for the equation tan(θ) = 1 between 0 radians and 2π radians are θ = π/4 radians (45°) and θ = 5π/4 radians (225°).

Step-by-step explanation:

To find two solutions for the equation tan(θ) = 1 between 0 radians and 2π radians (0° and 360°), we need to find the angles where the tangent function equals 1.

The first solution is θ = π/4 radians (45°), since the tangent of 45° is equal to 1.

The second solution is θ = 5π/4 radians (225°), since the tangent of 225° is also equal to 1.