Question

csc -4pi/3 please help

Answer 1

what are you trying to solve?

Answer 2

starting at \((0,1)\) count out 4 counter clockwise

Answer 3

ah I see it now. Here is a reformatting of the question:
\[\csc \left( \frac{ -4/\pi }{ 3 } \right)\]

Answer 4

the second coordinate is sine, the reciprocal is cosecant

Answer 5

well i would first get rid the negative
csc(-x)=-csc(x)
then go with -csc(4pi/3)

Answer 6

why all the fuss? find the coordinate and be done with it

Answer 7

just depends on you

Answer 8

i really just dont understand

Answer 9

ok so 4pi/3 is -1/2 or -3/2

Answer 10

i like the way @misty1212 did it

Answer 11

so what do I do with the -csc after I found 4pi/3

Answer 12

if the second coordinate of the point on the unit circle
that is the sine
flip it
that is the cosecant
use a cheat sheet if you do not have one check the last page here

Answer 13

@xapproachesinfinity thanks!

Answer 14

what do I do with the -csc after I found 4pi/3

Answer 15

if you go by what misty did you have the sin (-4pi/3)=root3/2
to find the csc flip that fraction

Answer 16

I dont quite understand that way, its easier for me to convert the negative radian and to solve from there

Answer 17

oh -root3/2

Answer 18

well you understand that csc(-x)=-csc(x)

Answer 19

so find csc(4pi/3)=?
and multiply that by -

Answer 20

1/-sqr3/2?

Answer 21

or is it positive sqr3/2

Answer 22

should be negative

Answer 23

with the other negative it cancels out

Answer 24

its still negative even with the multiplication of a negative?

Answer 25

no it negative with another negative it is +

Answer 26

csc( 4pi/3 )=2/root3

Answer 27

csc(- 4pi/3) i meant

Answer 28

why would it be 2/root3

Answer 29

because csc=1/cos
and cos of that angle is root3/2
so csc=1/roo3/2
which is the same as 2/root3