Question

Given the angle 29 pie over 4 , find two co terminal angles between -2 pie and 2 pie radius

Answer 1

9pi/4 and 17pi/4

Explanation:

Using the unit circle, we can easily find coterminal angles that coincide with a given angle. This includes across the y-axis and the x-axis, making sure to stay within the guidelines of [-2pi, 2pi]. The reference angle for 29pi/4 is pi/4. Coterminal angles are found my making a full rotation around the circle (by adding 2pi). In this case, make sure to have a common denominator before adding. These coterminal angles should not surpass -2pi or 2pi. pi/4+8pi/4=

9pi/4 +

8pi/4=17pi/4

. 9pi/4 and 17pi/4 are coterminal angles.