Question

Answer the following.(a) Find an angle between 0 and 2 pi that is coterminal with33π/10(b) Find an angle between 0° and 360° that is coterminal with 780°.Give exact values for your answers.

Answer 1

Step-by-step explanation

Part A

For the given question, we are asked to find the angle between 0 and 2pi that is coterminal with 33pi/10

This will be obtained using the fact that

33/10 π = 594°

So that

The coterminal angle between 0 and 2π is,

`1(3)/(10)π`

located in the third quadrant.

Part B

The coterminal angle that is coterminal with 780 degrees

Thus,

780° = 13/3 π ≈ 4.333 π

So that

The coterminal angle is between 0 and 360° is

`60°`

is located in the first quadrant.