How do you find the two quadrants that #theta# could terminate given #costheta=1/2#?

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How do you find the two quadrants that #theta# could terminate given #costheta=1/2#?

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Answer 1 · 2017-04-23T18:55:44

Quadrants #1# and #4#.

Explanation:

Since #costheta=1/2#, we know #theta=1/3pi# or some complement of the angle. #1/3pi# is in the first quadrant and the equivalent angle which would give #costheta=1/2# is #2pi-1/3pi=5/3pi# which is in the fourth quadrant.

As already stated, any complementary angles to these two would have to be in either quadrants #1# or #4#.

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How do you find the two quadrants that #theta# could terminate given #costheta=1/2#?

1 Answer

Explanation:

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