can you show me how to get the answer for this

tan(3theta+7)cot(5theta-11)=1

1 answer

that's a pretty nasty equation to solve, where did you get that?

I did some Newton's Method on it, but it converged rather slowly to an answer, I finally trimmed it up with a bit of "trial and error" at the end and got
theta = 1.146 as the answer closest to the origin.

Off-hand I don't know how to find the period of the trig expression, perhaps a good graphing tool could illustrate it.

once you have the period, you add/subtract that from my answer to get multiple solutions.

BTW, obviously my answer would be in radians.