Question

Find the exact value of csc (–1020)°.
a. 1/pi2
b. 1/2
c. 2/pi3
d. 2

Answer 1

2√3/3.

Explanation:

-1020 / 360 = -2.8333....

0.83333 * 360 = -300

-300 degrees = 60 degrees.

sin 60 = √3/2

csc = 1/sin so:

csc 60 = 2/√3

= 2√3/3.