Determine whether the function is even odd or neither fx cs

Determine whether the function is even, odd or neither. f(x) = csc x (A)The function is even. (B)The function is odd. (C)The function is neither even nor odd.

Solution

to check whether a function is odd or even find f(-x)

if f(-x) = f(x) ----even function

f(-x) = -f(x) --- odd function

f(-x) = csc(-x) = 1/sin(-x) = -1/sinx

= -cscx

Odd function

Option B