The discussion revolves around solving the trigonometric equation tan(x) + 3cot(x) = 4. Participants are exploring the implications of their attempts to find solutions for both tan(x) = 1 and tan(x) = 3, while considering the constraints of their homework environment.
Some participants have provided guidance on how to express solutions for tan(x) = 1 and tan(x) = 3, while others are questioning the feasibility of expressing tan^-1(3) in terms of pi. There is an ongoing exploration of the steps taken, with some participants seeking confirmation of their reasoning.
Participants note the restriction of not using calculators in their school, which influences their approach to finding solutions. There is also a mention of the need to clarify the notation used for the variable n in the context of periodic solutions.
lovemake1 said:how would we represent tan^-1(3) interms of radians ?
calculators are not allowed in our school, is there a way ?
"pi/4 +180n" -> Don't mix degree and radian measure. Also, state what "n" is. You should writelovemake1 said:im not sure about tan = 3, but for tan = 1 , pi/4 +180n,
is this correct? if it is how would i go about findin solutions for tan=3.
No, you still need both solutions. The other could be written aslovemake1 said:hmm..
so we just find solutions for tan = 1 ?
lovemake1 said:tan^-1(3) + npi
how do you write that interms of pi?
i've never seen anything like that. could you please give me an example?
lovemake1 said:ok, just to make sure.. are my previous steps correct?
just to double check. thanks