Question

PLEASE HELP! WILL MEDAL AND FAN!

If y = tan(x+π), find x as a function of y.

Answer 1

just use inverse rules?

Answer 2

arctan(y)=x+k*pi
x=-k*pi +arctan(y)

but -pi and +pi are pretty much the same so we usually take the positive value

x=k*pi + arctan(y)

Answer 3

i think thats all to it. perhaps look for asymptotes?

Answer 4

My book says that the answer is x= pi + Arctan y. can u explain the inverse rules?

Answer 5

pretty much the rule with inverse trig is that
\[\sin (\arcsin x) = x ; \tan(arctanx)=x; \cos(\arccos(x)=x\]