Question

Given theta = 19pi/6 . Find the exact values of all six trigonometric functions of theta. Draw the angle. Find the reference angle and label the picture.

Answer 1

you have to draw a picture first

Answer 2

I don't know were to begin with the picture?

Answer 3

first find what quadrant your angle is

Answer 4

Do i use the unit circle to determine which quadrant it is in?

Answer 5

19Pi / 6 = 2pi + k * pi/6

Answer 6

so ignoring the pi
pi ( 2 + k/6 ) = Pi 19/6

Answer 7

2 + k/6 = 19/6

k/6 = 19/6 - 2

k = 19 - 12

k = 7

Answer 8

so 2pi + 7pi/6 = 19pi/6

Answer 9

it might be easier if you convert radian measure to degrees

Answer 10

are you still there @whitney9401 ?

Answer 11

I'm here!

Answer 12

how many radians are in one complete revolution?

Answer 13

2pi radians

Answer 14

clearly this angle is more than 1 revolution