Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

erin512

  • one year ago

solve the equation on the interval 0≤x≤2pi tanx=0

  • This Question is Closed
  1. genius12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Erin have you tried solving this yourself? I encourage you to learn from the solutions I provided and try and solve this yourself first. If you get stuck, then feel free to ask.

  2. erin512
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you, i'm a bit confused but i'll try solving it myself

  3. genius12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    One hint is that tan(x) = sin(x) / cos(x) and the saying tan(x) = 0 is the same as saying sin(x) = 0. @erin512

  4. erin512
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks again, ill try that could you maybe give me an explanation of just one more to help me understand and ill do the next one on my own? i'd really appreciate it

  5. genius12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Remember what I said. tan(x) = 0 is the same as finding x for sin(x) = 0. This is because tan(x) = sin(x) / cos(x). Since tangent is the quotient of sine and cosine, and we are finding the values of x for where it's 0, we are really finding when the quotient sin(x) / cos(x) is 0. The quotient is 0 when sin(x) is 0 because when the numerator is 0, the whole fraction is 0. Where is sin(x) = 0 ? Look at the sine graph if you need to.

  6. genius12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @erin512

  7. ton12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    tanx = 0 ---> x = n pie

  8. ton12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since the intervel is 0≤x≤2pi n = 0,1,2

  9. erin512
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    n can equal any number?

  10. erin512
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh nevermind thank you

  11. ton12
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Welcome

  12. attila3453
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Generally, when tanx = a, x = { arctan(a) + k*pi, when k is whole }

  13. erin512
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so x = 1, 2?

  14. erin512
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i mean x=0,1,2

  15. DHASHNI
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[0 \le x \le 2\pi \] take tan on all \[\tan 0 \le \tan x \le \tan 2\pi\] => \[0 \le tanx \le 0 \] that means tanx =0 \[\ x=tan^{-1} 0= 0 = 2pi \]

  16. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.