Are the trigonometric functions odd, even, or neither odd nor even? Select answers from the drop-down menus to correctly complete the statements.
The function f(x)=cos x is____ . The function f(x)=csc x is _____.
The cosine function is even because it is symmetric with the y axis
See the graph here : https://www.desmos.com/calculator/1w8wnljmgc
For an odd function we must have that
f(-x) = -f(x)
So....notice for instance that
csc(-pi/2) = -1 = -csc (pi/2)
csc (x) is odd