Final answer:
The function cosec(θ), also known as the cosecant function, is not defined for values of θ that make the sine function equal to zero.
Step-by-step explanation:
The function cosec(θ), also known as the cosecant function, is not defined for values of θ that make the sine function equal to zero.
The sine function is equal to zero at angles where the terminal side of the angle is on the x-axis, such as 180 degrees, 360 degrees, and so on.
Therefore, the function cosec(θ) is not defined for angles θ that are integer multiples of 180 degrees.