Question

what are the positive measures of the closest coterminal angle to 2.6 radians? Give exact answers (no decimals). Positive Angle : ______radians and Negative Angle:________ radians

Answer 1

coterminal angles are in the same location on the circle. The closest coterminal angles will be one revolution away, so add and subtract \(2\pi\)

Answer 2

I tried doing that but I got the wrong answers

Answer 3

did you enter an exact number or a decimal?

Answer 4

I subtracted 2pi from 13pi/5

Answer 5

but your angle is 2.6, not 13pi/5.
\(2.6 ± 2\pi\) are the closest angles

Answer 6

so the answer would be 2pi and -2pi?

Answer 7

2.6 + 2π and 2.6 - 2π

Answer 8

but you would have to convert the 2.6 into radians?

Answer 9

you don't have to convert it. 2.6 is already in radians. You don't need to include a π there because not all angles are multiples of π.