Answer the following Find an angle between 0 and 2 pie that

Answer the following. Find an angle between 0 and 2 pie that is coterminal with 27 pie/10. Find an angle between 0 degrees and 360 degrees that is coterminal with 805 degrees. Give exact values for your answers.

Solution

a) given 27/10

it can be written as 2.7 . we know that coterminal angles can be obtained by removing or adding 2.

so let us subtract 2. 2.7-2 = 0.7 = 7/10 this is between 0 and 2. Hence 7/10 is coterminal angle.

b) Given 805 degrees.

Let us subtract 360 degrees . 805-360 = 445 degrees

445 is above 360. so let us subtract 360 , 445-360 = 85 degrees.

Hence The coterminal angle is 85 degrees.