Question

what's arccsc(-2) equal to

Answer 1

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 2

so it's -30 degrees

Answer 3

yes, since -pi/6 = -30 degrees

Answer 4

will it be 330 degrees or 30 degrees? it's a multiple choice question and 330 and 30 are both the answers

Answer 5

Well 330 is a coterminal angle to -30 degrees

Answer 6

so would you choose 330 or -30

Answer 7

I would go with -30 since that's closest to 0

Answer 8

yay. you're absolutely right thank you very much!