Question

What quadrant is 11pi/3 in? Find sin, cos, and tan theta.

Answer 1

is there a way to do this besides looking at the unit circle because I am confused on where to find 11pi/3

Answer 2

@Jaynator495 @taylor12344 @ParthKohli

Answer 3

im sorry i dont know how to explain it without giving the answer away, and as thats not allowed ill try and call someone who can help more with this :)

Answer 4

@just_one_last_goodbye @TheSmartOne

Answer 5

\[
\frac{11\pi}{3} = \frac{9\pi+2\pi}{3} = 3\pi + \frac 23\pi = 2\pi + \pi + \frac 23 \pi
\]

Answer 6

figures, the one i didnt call but htought of came and helped lol

Answer 7

\[2\pi + \pi + \frac 23\pi\]\(2\pi\) is one full circle and can be ignored.
\[\pi + \frac 23 \pi = \pi + \frac 12 \pi + \frac 16\pi\]
In which quadrant does that lie?

Answer 8

@aum do u know

Answer 9

dont struggle with it, its fine guys, i gtg anyway. aum u can always comment here or message me if u wanna help me out, i appreciate it

Answer 10

\[
\pi + \frac 12 \pi + \frac 16\pi \\
\pi = 180 \text{ degrees} \\
180 + 90 + 30 = 300 \text{ degrees}.
\]

Answer 11

Which quadrant is 300 degrees?

Answer 12

1?

Answer 13

i mean 4 srry

Answer 14

Yes.

Answer 15

Do i find sin cos and tan theta by looking at the parenthesis on the unit circle

Answer 16

If radians is confusing, convert it to degrees and it will be easier to figure out the quadrant.

Answer 17

i need to figure out the next part now ^^

Answer 18

The first value within the parenthesis, that is the x-coordinate is the cosine value and the y-coordinate is the sine value.

Answer 19

can u check my answers for that

Answer 20

cos= -1/2
sin= (-sqrt 3)/2
tan= sqrt 3

pretty sure the last one is right, and maybe the sin

Answer 21

cosine is positive in the fourth quadrant and so it should be 1/2 (not -1/2).
tangent is negative in the fourth quadrant.

Answer 22

\[
\cos\left( \frac{11\pi}{3} \right) = \frac 12 \\
\sin\left( \frac{11\pi}{3} \right) = -\frac {\sqrt{3}}{2} \\
\tan\left( \frac{11\pi}{3} \right) = -\sqrt{3} \\
\]

Answer 23

thanks!!! @aum

Answer 24

yw.