Question

Select ALL angles that are coterminal with -4π/15.

Answer 1

To find coterminal angles of -4π/15, you can add or subtract multiples of 2π. Examples of coterminal angles include 28π/15 and -44π/15.

Step-by-step explanation:

The question 'Select ALL angles that are coterminal with -4π/15' deals with finding angles that share the same terminal side as -4π/15 radians on the unit circle.

To find coterminal angles, we can add or subtract multiples of 2π radians (360°). Angles are coterminal if the difference between them is a multiple of 2π. Given the angle -4π/15, we can define coterminal angles as -4π/15 + k(2π), where k is an integer.

For example:

• Adding 2π to -4π/15 yields 28π/15, which is coterminal.
• Subtracting 2π from -4π/15 yields -44π/15, which is also coterminal.