Question

For what value of theta is the cosecant of theta undefinedThe answers are a 90° b 180° C 270° or D 315°

Answer 1

Okay, here we have this:

Considering the provided expression, we are going to identify for what value of theta is the cosecant of theta undefined, so we obtain the following:

Then let us remember that the cosecant is equal to 1/sine(tetha), that is to say that if the cosecant is indeterminate it will be because the sine of thetha is equal to zero, for which we will find for which values the sine of thetha is equal to zero, so, we have:

`\begin{gathered} sin(\theta)=0 \\ \theta=sin^(-1)(0) \\ \theta=0\text{\degree}+360\text{\degree n, }\theta=180\text{\degree+360\degree n} \end{gathered}`

According to this we finally get that the correct answer is option B (180°).