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2 years ago

Find one positive and one negative coterminal angle to 2.7 Radians:

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

4 0

the two coterminal angles to the given one are:

8.98 rad and -3.58 rad

<h3>How to find coterminal angles?</h3>

For a given angle A in radians, the family of coterminal angles is defined as:

B = A + n*(2*pi)

Where pi = 3.14 rad

Where n can be any integer number.

In this case, we have an angle of 2.7 radians, then the coterminal angles are:

B = 2.7 rad + n*(6.28 rad)

One positive is what we get if we select n = 1, then:

B = 2.7 rad + 1*(6.28 rad) = 8.98 rad.

And if we select n = -1, we get the negative coterminal angle:

B' = 2.7 rad - 1*(6.28 rad) = -3.58 rad

Then the two coterminal angles to the given one are:

8.98 rad and -3.58 rad

If you want to learn more about coterminal angles:

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