Question

Find the measure of a negative angle coterminal with 4л 3 radians.

Answer 1

we can conclude that the measure of a negative angle coterminal with 4л/3 is B = -2л/3

How to find the coterminal angle?

For a given angle A, we define the family of coterminal angles as:

B = A + n*2л

Where n is an integer number.

In this case, we want to find a negative coterminal angle to A = (4л/3), then we can replace it in the above formula to get:

B = 4л/3 + n*2л

Now we just need to find a value of n such that B is negative, if we select n = -1, then:

B = 4л/3 - 2л = 4л/3 - 6л/3  = -2л/3

Then we can conclude that the measure of a negative angle coterminal with 4л/3 is B =  -2л/3.

If you want to learn more about coterminal angles:

brainly.com/question/3286526

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