Question

Evaluate Arccsc 2.

A. Pi/3
B. { pi/6, 5pi/6}
C. { pi/6 +/- 2pin, 5pi/6 +/- 2pin}
D. {pi/3 +/- 2pin, 5pi/3 +/- 2pin}

***My Answer: C***
Is that correct?

Answer 1

arccsc 2 has the same meaning as 1/ sin x = 2
sinx =1/2
just keep in mind arc csc and arc sin they have same range so we will not lose any answer
if sinx =1/2
then arc sin (1/2) =?
arc sin (1/2) = 30 degree or Pi/6

Answer 2

Ok so if arc sin (1/2) = pi/6, that means we can take out A and D right?

Answer 3

The answer is C

Answer 4

yes ...you are right