Question

Find the exact value of the following function. Show your work and explain the steps you take to find the value. sec(17pi/6) THANK YOU!! (:

Answer 1

I still don't get it ):

Answer 2

@Directrix

Answer 3

Find the exact value of each of the following. In each case, show your work and explain the steps you take to find the value.

1. sin 17pi/6
2. tan 13pi/4
3. sec 11pi/3

I am not sure how to approach this. I looked at the unit circle and know that all three of these go around the circle almost once or one time. Do I have to look at the reference angles for this? Also how does sin, tan and sec affect the answer?
I know tan (theta)=y/x, sec(theta)= 1/x and sin(theta)= y.

Answer 4

find \(\frac{17\pi}{6}\) on the unit circle, which is coterminal wtih \(\frac{5\pi}{6}\) because
\[\frac{17\pi}{6}-2\pi =\frac{6\pi}{6}\]

Answer 5

look at the first coordinate on the unit circle, that is cosine

Answer 6

take the reciprocal of that number, that is secant

Answer 7

the first coordinate is pi/6 right?

Answer 8

so 6/pi is secant

Answer 9

no
you got a cheat sheet?

Answer 10

yes

Answer 11

find \(\frac{5\pi}{6}\) and look at the ordered pair
let me know when you find it

Answer 12

(-rad3/2,1/2)

Answer 13

quadrant 2

Answer 14

yes

Answer 15

the first coordinate is cosine

Answer 16

secant is x?

Answer 17

so -2/rad3

Answer 18

yes

Answer 19

that's the final answer?

Answer 20

YES

Answer 21

THANK YOU!!!!!!!!!!!!!!!!!!!!!

Answer 22

yw

Answer 23

unless you have to rationalize the denominator

Answer 24

I don't have to, my teachers prefers it as is.

Answer 25

teacher*

Answer 26

in which case you have to write \[-\frac{2\sqrt3}{3}\]

Answer 27

k good, your teacher has common sense

Answer 28

lol