Question

Solve the attached problem...

Answer 1

this exercise seems pretty stupid if I understand it correctly

Answer 2

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

Answer 3

\[\sqrt{9+x^2}\]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

Answer 4

so it then becomes 3cot theta?

Answer 5

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

Answer 6

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

Answer 7

how do i do that?

Answer 8

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

Answer 9

thanks for the help!

Answer 10

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