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Mathematics
OpenStudy (anonymous):

Solve the attached problem...

OpenStudy (anonymous):

OpenStudy (turingtest):

this exercise seems pretty stupid if I understand it correctly

OpenStudy (anonymous):

my choices are: sec theta 3sin theta 3cos theta 3csc theta 3cot theta

OpenStudy (turingtest):

\[\sqrt{9+x^2}\]plug in\[x=3\cot x\]and we get\[\sqrt{9+(3\cot x)^2}\]simplify this by puling the constant out of the radical

OpenStudy (anonymous):

so it then becomes 3cot theta?

OpenStudy (turingtest):

typo above, x should be theta ... this time I'll just say it simplifies to\[3\sqrt{1+\cot^2\theta}\]

OpenStudy (turingtest):

now manipulate the identity\[\sin^2\theta+\cos^2\theta=1\]to get an expression for \(1+\cot^2\theta\) , which you can then sub into the above to get an answer choice

OpenStudy (anonymous):

how do i do that?

OpenStudy (turingtest):

divide the identity by sin^2 and you will get an expression for cot^2+1

OpenStudy (anonymous):

thanks for the help!

OpenStudy (mertsj):

@TuringTest The reason it seems stupid to you is that you are tooooooo dang smart!

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