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

1 Answer
Feb 20, 2018

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