Question

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

Answer 1

What is the reference angle? If you're not sure, then are you able to determine which quadrant this angle is in?

Answer 2

Θ'= pi over 3, cosine is positive, sine and tangent are negative

Θ'= 5 pi over 3, sine and cosine are positive, tangent is negative

Θ'= negative pi over 3, sine and cosine are positive, tangent is negative

Θ' = negative 5 pi over 3, cosine is positive, sine and tangent are negative
Those are the possible answers

Answer 3

ok ignore those for a moment

Answer 4

it's always good to know how to do a problem and not rely on the multiple choice answers

Answer 5

which quadrant is this angle in?

Answer 6

i think it is one of the 4: Θ'= pi over 3, Θ'= 5 pi over 3, Θ'= negative pi over 3, Θ' = negative 5 pi over 3, but it could be Θ = 5 pi over 3

Answer 7

well of course it has to be one of those four lol. You can only choose one those four answer choices

Answer 8

lol, i just wasnt sure what to do with 5 pi over 3

Answer 9

let's convert over to degrees

Answer 10

multiply 5pi/3 by 180/pi to convert to degrees

Answer 11

what do you get?

Answer 12

300

Answer 13

which quadrant is 300 degrees in?

Answer 14

4, which means cosine is the only on positive, so it would have to be the last choice. negative 5 pi over 3, cosine is positive, sine and tangent are negative

Answer 15

if the angle is 300 degrees, then what is the reference angle (in degrees)?

Answer 16

a drawing may help