Question

what's arccsc(-2) equal to

Answer 1

what do you think?

Answer 2

Let x = arccsc(-2)

x = arccsc(-2)

csc(x) = csc(arccsc(-2))

csc(x) = -2

1/sin(x) = -2

1 = -2*sin(x)

1/(-2) = sin(x)

-1/2 = sin(x)

sin(x) = -1/2

Now use the unit circle to find that sin(-pi/6) = -1/2


So x = -pi/6


This means that arccsc(-2) = -pi/6

Answer 3

I keep coming up with 11pi/6 but am told it is -pi/6. Why would i choose one over the other?

Answer 4

read what i said and try :)

Answer 5

I would think that sin(x)=-1/2; then x=11pi/6.
I understand that pi/6 is the co terminal, but why would I choose it rather than 11pi/6? sorry, but i am confused

Answer 6

it's -30 degrees

Answer 7

yes, since -pi/6 = -30 degrees

Answer 8

Well 330 is a coterminal angle to -30 degrees

Answer 9

I see...thank you

Answer 10

medal ^^