Find the exact value of csc pi6 What is the exact value of c

Find the exact value of csc (pi/6). What is the exact value of csc (pi/6)? A. csc (pi/6) = 2 B. csc (pi/6) = Squareroot 3/2 C. csc (pi/6) = Squareroot 3/3

Solution

first remember that csc(x) = 1/ sin(x)

so now csc(pi/6) = csc(180/6) = csc(30) = 1/sin(30)

and we know sin(30) = 1/2.

so now csc(pi/6) = 1/sin(30) = 1/(1/2) = 2