Question

When Θ = 5 pi over 3, what are the reference angle and the sign values for sine, cosine, and tangent?

Answer 1

@ThereisnoUsername

Answer 2

multiply 5pi/3 by 180/pi to convert to degrees,
what do you get

Answer 3

300?

Answer 4

yes!
okay so what quadrant would 300 degrees be in?

Answer 5

4th?

Answer 6

yepp,
okay if the angle is 300 degrees , what would the reference angle be in degrees?

Answer 7

60?

Answer 8

@ThereisnoUsername 180/pi = ? bc. hope you know that the value of pi=180
bc. you know that pi/2 = 90 degree
so in this way why is importantly dividing 180/pi ?

Answer 9

yes!! haha
okay so now
you can convert that over when you multiply by pi/180,
so you can plug theta = 5pi/3 into 2pi - theta
and what do you get In terms of pi?

Answer 10

180/pi or pi/180 are equal 1

Answer 11

im confused @ThereisnoUsername

Answer 12

@jhonyy9
Pi doesn't equal any number of degrees because pi without a unit is just a number. The point is that pi radians is equal to 180 degrees

Answer 13

okay, let me help you

Answer 14

it wont let me draw it so ill just explain,

Answer 15

wait i think i got it would it be 1.047?

Answer 16

ok wait your explication --- ty.

Answer 17

yes so pi over 3, cosine is positive, sine and tangent are negative would be the answer because everything is pi/3

Answer 18

awesomeeee thank you, i have a couple more questions im going to open a new one and tag you

Answer 19

okay :)