Question

part 1 of 4
identify the quadrant and reference angle for the given angle. then find the sine, cosine, and tangent.
225°
the angle is in and the reference angle is °
(do not include the degree symbol in your answer.)

Explanation:

Step1: Determine the quadrant

Since \(180^{\circ}<225^{\circ}<270^{\circ}\), the angle \(225^{\circ}\) is in the third quadrant.

Step2: Calculate the reference angle

The formula for the reference angle \(\theta'\) of an angle \(\theta\) in the third quadrant is \(\theta'=\theta - 180^{\circ}\).
So, \(\theta'=225^{\circ}- 180^{\circ}=45^{\circ}\)

Answer:

The angle is in \(III\) and the reference angle is \(45\)