Find an angle between 0° and 360° that is coterminal with the angle 2595°.

The angle between 0° and 360° that is co-terminal with the angle 2595° is 75°

Step-by-step explanation:

To find the angle between 0° and 360° that is coterminal to a given angle use this rule

The angle that is co-terminal to Ф = Ф - n × 360, where

∵ The given angle is 2595°

∴ Ф = 2595°

→ To find n divide Ф by 360 and equate n by the whole number only

∵ 2595 ÷ 360 = 7.2083333

→ That means the number of complete turns is 7

∴ n = 7

→ Substitute the values of Ф and n in the rule above

∵ The angle that is co-terminal to 2595° = 2595 - 7 × 360

∴ The angle that is co-terminal to 2595° = 2595 - 2520

∴ The angle that is co-terminal to 2595° = 75°

∴ The angle between 0° and 360° that is co-terminal with the angle

   2595° is 75°