An angle of 5000deg is coterminal with what angle between 0 and 2pie? How would you find cos(4000deg)?

Answer 1

A whole circle is 360 degrees or 2pi radians. Think of the circle with its center at the origin of an x-y graph. To get to 5000 degrees, you would have to go around the circle 13 times, beginning at the point of the circle that intersects the positive side of the x- axis, which would be 4680 degrees. That leaves 320 degrees to make up the 5000. So 320 degrees is coterminal with 5000 degrees.

For the second part of your question, I'll assume you're not using a calculator. If you were, you could just find cos 4000 by plugging it in. 4000 degrees is 11 times around a circle plus another 40 degrees. So the cos of 4000 degrees will be the same as the cos of 40 degrees which is .76604.

Answer 2

5000 degrees is coterminal with what angle

Divide 5000 by 360

5000 ÷ 360 = 13.88888889

Drop the decimal

Multiply 360 x 13 = 4680 degrees

Subtract 5000 from 4680 = 320 Degrees

5000 is coterminal with 320 degrees . Quadrant IV

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cos(4000degrees)

Divide 4000 by 360 = 11.11111111

Drop the decimal

Multiply 360 x 11 = 3960

Subtract 4000 from 3960 = 40 Degrees

cos(4000deg) is coterminal with cos(40 ) degrees

Answer 3

All you have to do is keep subtractive 360 degrees (2 pi) from the given degrees until you get a number between 0 and 360 degrees.

So for 5000 degrees you can subtract 4680 (13 * 360) to get 320 degrees.

The easy way to do this is divide 5000 / 360 = 13.88. Round down to get 13 and multiply by 360 = 4680.

So for 4000 take 4000/360 = 11.11.

Round down to 11 and multiply by 360 = 3960.

4000 - 3960 = 40. So cos(4000) = cos(40)

Answer 4

isn't a coterminal attitude only +/- 360º (or +/- 2?) from the unique attitude? To get an exact answer all you could do is keep including 2? to -37?/6 till you get an attitude between 0 and 2?. -37?/6 + 12?/6... (proceed to characteristic) Sorry if this became difficult, wish I helped!