Question

How do you find two solutions (in degree and radians) for cscx = (2sqrt3)/3?

Answer 1

Solve `csc x = (2sqrt3)/3`

Ans: `pi/3 and (2pi)/3`

Explanation:

`csc x = 1/(sin x) = (2sqrt3)/3.` Find sin x.
`sin x = 3/(2sqrt3) = sqrt3/2.`

Trig Table of Special Arcs gives -->
`sin x = sqrt3/2` ---> arc `x = pi/3 (or 60^@)`,
and `x = (2pi)/3 (or 120^@)`