Question

cscx=2 from 0 to pi

how do find values of x??

Answer 1

Invert both sides and sin(x)=1/2?

Answer 2

csc(x) = 1/sin(x)

So:
1/sin(x) = y
sin(x) = 1/y
asin(sin(x)) = asin(1/y) = x

Answer 3

There will be two solutions: one in quadrant one and one in quadrant two.

Answer 4

Hmm, how do you find the second solution?

Answer 5

-(x+pi), no?

Answer 6

Unit circle helps.

Answer 7

x2=π-x1

Answer 8

(1/sin(x))=2

then solve for sin(x)=1/2
x=arcsin(1/2)