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3 years ago

Are 165° and 1965° coterminal?

Mathematics

1 answer:

MatroZZZ [7]3 years ago

5 0

two angles are coterminal, namely land on the same spot on the circle.

let's check.

let's firstly divide 1965° by 360°, since 360° is a full circle, that way we know <u>how many full circles are</u> in 1965°.

1965 ÷ 360, gives us a quotient of 5 with some remainder.

5 * 360 = 1800, 5 full circles

if we subtract the full circles from 1965

1965 - 1800 = 165

low and behold, the remainder from that division is 165° ✔

in other words, 1965°, goes around the circle 5 times and then lands 165° after all that, in the same spot as 165°.

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3 years ago

Are 165° and 1965° coterminal?​

Are 165° and 1965° coterminal?