In which quadrant is the angle \( \theta = 5 \pi / 4 \) located?
Answer
The angle \( 225 \) degrees is located in the third quadrant. For reference, the four quadrants are divided as follows: first quadrant (0 to 90 degrees), second quadrant (90 to 180 degrees), third quadrant (180 to 270 degrees), and fourth quadrant (270 to 360 degrees).
Step 1 ：The angle \( \theta = 5 \pi / 4 \) is a positive angle and it is measured in radians. In degrees, it is equal to \( 5 \pi / 4 \times \frac{180}{\pi} = 225 \) degrees.
Step 2 ：The angle \( 225 \) degrees is located in the third quadrant. For reference, the four quadrants are divided as follows: first quadrant (0 to 90 degrees), second quadrant (90 to 180 degrees), third quadrant (180 to 270 degrees), and fourth quadrant (270 to 360 degrees).
