Question

For what numbers theta is f(theta)=cot(theta) not defined?

Answer 1

The cotangent function is undefined when the sine function is zero, which occurs at theta = n * pi, where n is an integer.

Step-by-step explanation:

In mathematics, the function

cot(theta)

represents the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.

However, the cotangent function is undefined for values of theta where the sine function is equal to zero. In other words, when the angle theta results in a vertical line on the unit circle, the cotangent is undefined. This occurs at theta = n * pi, where n is an integer.

Answer 2

As cosec theeta is inverse of sin theeta:
So
cscθ = 1/sinθ
and sinθ = 0 when θ = {0.pi,and 2pi}
when θ = 0.pi,and 2pi.