Question

How do you find the value for `csc^-1 (-7/3)`?

Answer 1

csc x = (-7/3). Find arc x
sin x = - 3/7
Calculator and unit circle give 2 solutions for x -->
`x = - 25^@38 + k360^@`, and
`x = 180 - (- 25.38) = 180 + 25.38 = 205^@38 + k360^@`
Note. x = -25.38 is co-terminal to x = 360 - 25.38 = 334.62
Answers:
`x = 205^@38 + k360^@`
`x = 334^@62 + k360^@`