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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.

Sagot :

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,

[tex]1\frac{3}{10}π[/tex]

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

[tex]60°[/tex]

is located in the first quadrant.

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