Asked by v
find all solutions for
tan^2 theta -4 = 0
i got theta = arctan 2
is that correct? and if it is how would i write it as a solution?
tan^2 theta -4 = 0
i got theta = arctan 2
is that correct? and if it is how would i write it as a solution?
Answers
Answered by
Steve
theta = arctan2 or arctan -2
because tan^2 = 4, so tan is +/- 2
that's as exact as you can get. Just as pi or sqrt(7) is a perfectly valid number, so is arctan(2)
just be sure to note that since arctan(-2) = pi-arctan(2), the complete solution set is
k*pi+/-Arctan(2)
where Arctan(2) is the principal value.
because tan^2 = 4, so tan is +/- 2
that's as exact as you can get. Just as pi or sqrt(7) is a perfectly valid number, so is arctan(2)
just be sure to note that since arctan(-2) = pi-arctan(2), the complete solution set is
k*pi+/-Arctan(2)
where Arctan(2) is the principal value.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.