Chapter 4.2, Problem 90PE

For Exercises 87-92, select all properties that apply to the trigonometric function.

a. The function is even.

b. the function is odd.

c. The period is $2\pi$ .

d. The period is $\pi$ .

e. The domain is all real numbers.

f. The domain is all real numbers excluding odd multiples of $\frac{\pi }{2}$ .

g. The domain is all real number excluding multiples of $\pi$ .

$f\left(t\right)=\cot \left(t\right)$