Question

what is csc (2π/3)? explain

Answer 1

Do you know what the Unit circle is?

Answer 2

csc 2 pi/3= csx (pi-pi/3)

Answer 3

*csc (pi-pi/3) =1/sin(pi-pi/3)

Answer 4

can u do it now ?

Answer 5

Go to the Unit circle and 2pi/3 = 120 degrees
therefore you have to find out the value of csc at 120 degrees

Answer 6

is it 1.15?

Answer 7

http://web.gccaz.edu/~jgutier5/Tables/The%20Unit%20Circle%20Table%20Of%20Values.pdf If you look at this chart. you will find the value for csc at 2pi/3 which is csc 120 degrees. 2pi/3 is 120 because you take 2 and multiply it by 180 and divide by 3 to get 120

Answer 8

oh ok thanks

Answer 9

yes i see that part

Answer 10

so csc of 120 degrees is 1.15470053838

Answer 11

No you are looking for the exact value. you can't use your calculator to find it. you have to use the chart.

Answer 12

are you looking for the exact value?

Answer 13

i'm not sure what the question asks for

Answer 14

Im pretty sure you are looking for the exact value.. therefore that link i gave you gives you the exact value.

Answer 15

where is it on the chart?

Answer 16

\[\frac{ 2\sqrt{3} }{ 3}\]

Answer 17

1.15

Answer 18

:)

Answer 19

look at 120 degrees and at the top it has csc cot sin cos tan all of those. And you will find it.

Answer 20

you are right !

Answer 21

it says 2sqrt3/3

Answer 22

yes thats the answer.

Answer 23

oh ok, thanks!!!

Answer 24

you're welcome

Answer 25

what about for sin(13π/4)? thats not on the chart is it?

Answer 26

you have to find a coterminal angle for that. therefore you will be looking at 5pi/4 all i did was take 2pi from 13pi/4 \[\frac{ 13 }{ 4 }-\frac{ 2 }{ 1 }\]

Answer 27

which gives you 5/4 which is 5pi/4.

Answer 28

then 5x180 divided by 4 = 225 degrees so look for the exact value of 225 degrees for sine

Answer 29

which should be \[\frac{ -\sqrt{2} }{ 2 }\]

Answer 30

ooh thanks

Answer 31

5π/4
13π/4-2π
13/4-2/1
5*180/4=225°
-√(2)/2

Answer 32

so is that correct or did i write it wrong

Answer 33

you did it right. except what i did with the 13/4-2 was i found a coterminal angle for it. to do that you take away 2pi from 13/4 so 13/4-2 is just a regular subtraction of fractions.

Answer 34

so it should be 13/4-2π?

Answer 35

yes but what you did was correct... you might just want to show the teacher how you got 5pi/4 is what I'm saying.