Question

PLEASE HELP! Sketch theta = 5pi/4 in standard position.

A. Determine two coterminal angles (pos & neg)

B. Convert the angle to degree measure.

Answer 1

It may help to convert 5pi/4 into degrees

Answer 2

(5*180)/4 = 225 degrees, so it is in quad 3

Answer 3

so 225 degrees would be the conversion of the angle to its degree measurement?

Answer 4

would that also be one of the coterminal angles?

Answer 5

Terminal angles is the angle + or - 360 degrees.

sin(225 degrees + 360 degrees) = sin(585 degrees) = sin(225 degrees)

Answer 6

In the sketch, you would label it as 5pi/4 rads

Answer 7

so the two coterminal angles would be -135 and 585 degrees, the conversion of the angle to degree measure would be 225 degrees and the sketch would be a horizontal line at positive 4, correct?

Answer 8

two terminal angles of 225 degrees are:

(225-360) degrees, and (225+360) degrees

Answer 9

what do you mean by horizontal line at positive four?

The unit circles goes like this:

http://coolmath.com/precalculus-review-calculus-intro/precalculus-trigonometry/images/28-trigonometry-01.gif

Do you see where 5pi/4 is?

Answer 10

Other than that, everything else is correct

Answer 11

thank you!!! :)