Solve the attached problem...

Question

anonymous · Answer

attachment

turingtest · Answer

this exercise seems pretty stupid if I understand it correctly

anonymous · Answer

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

turingtest · Answer

$$\sqrt{9+x^2}$$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

anonymous · Answer

so it then becomes 3cot theta?

turingtest · Answer

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

turingtest · Answer

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

anonymous · Answer

how do i do that?

turingtest · Answer

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

anonymous · Answer

thanks for the help!

mertsj · Answer

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