The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle.

Question

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.) − 7𝜋/4

Answer 1

To find terminal angles, you add or subtract 2π. Since this problem has a denominator of 4, and we need a common denominator to add or subtract, We would use 8π/4

Positive by adding:

− 7𝜋/4 + 8π/4 = π/4

π/4 + 8π/4 = 9π/4

Negative by subtracting.

− 7𝜋/4 - 8π/4 = -15π/4

-15π/4 - 8π/4 = -23π/4