Question

For what value of θ is csc θ undefined? 0° 90° 270° 315°

Answer 1

The trigonometric function we need to evaluate is:

`\csc\theta`

This function is given by:

`\csc\theta=(hypotenuse)/(opposite)`

In the unit circle, graphically these measures are given by:

Then, the cosecant will be undefined when the opposite side (y-value) is equal to zero, so let's check the given angles:

And we can't find the exact value of csc 315, but with a little help from the unit circle, we can observe that the opposite side measures a value different than 0:

So, the answer is 0°.