Question

How do you use a calculator to evaluate `csc(-330^circ)`?

Answer 1

As explained below:

Explanation:

`-330^@`

a) Without using calculator :
`csc(-330) = (1/sin(-330)) = 1 / (sin(-360+30))`

As sin (-360) = sin(0), it is in the first quadrant where sine is positive.

`=> 1/(sin(30) )= 2`

b) Using calculator,
Find the value of `1/sin(-330)` using degree or

`1/sin((-330*2pi)/360) = 1/sin(-(11pi)/6) = 2` using radians