Question

How are you supposed to reason when solving the equation tanx=1/sqrt3?

Answer 1

Yes, but what does this say about x?

Answer 2

I guess that it would say that the hypotenuse is 2, so therefore you can use sin or cos in order to calculate the x?

Answer 3

Meaning what is the solve for the system {sin(x)=1/2;cos(x)=sqrt3/2}

Answer 4

Which would conclude the solution x=Pi/6+2nPi, for any integer n.

Answer 5

Do you need to reason this way? Is there a simpler way that always yields the correct solution like this way?

Answer 6

OOOOOH, I see where I went wrong. :D

Answer 7

I expressed sin^2x in terms of tan^2x; this means that |sinx|=1/2 and therefore gave a false solution.

Answer 8

Thanks for your simple yet mind-opening triangle though, Jack! :D