A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Solve:
sec²θ = 2tanθ+4 over the interval [0,2pi)
anonymous
 5 years ago
Solve: sec²θ = 2tanθ+4 over the interval [0,2pi)

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sec^2 = 1 + tan^2 so if you substitute that you will get \[\tan^2(x) 2\tan(x) 3 = 0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if you let tan(X) = a, it's obvious that it's a quadratic such that (a3)(a2) = 0 so,

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0would it be (a+1)(a3) ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry, you did get that

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there are infinitely many solutions for x, but since the interval is only from 0 to 2pi, x = \[\tan^{1}(3), \tan^{1}(3) + \pi , \tan^{1}(1)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you need a calculator for arctan(3) but arctan(1) is a value we know which is 45 degrees. in terms of radians in the 3rd quadrant, it would be \[7\pi \over 4\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so is the answer 7pi/4 and that's it?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, arctan(3) and arctan(3)+pi are also answers

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it's just a number that we cannot say exactly what it is

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh, because my answer has to be in [0,2pi) form.....no decimals

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Iris, the exact answer IS arctan(3), arctan(3) + pi, 7pi/4
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.