Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

rox13kh

  • one year ago

sin0 + cos0 = 7/6 what is sin0 - cos0 = ? 0 represents theta

  • This Question is Closed
  1. Hyun11
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[2(\pi n+\arctan(\frac{1}{13}(6-\sqrt{23})))\]

  2. Hyun11
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[n\in \mathbb{Z}\]

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

    \[sin\theta + cos\theta = \frac{7}{6}\]\[(sin\theta + cos\theta)^2 = (\frac{7}{6})^2\]\[sin^2\theta + cos^2\theta+2sin\theta cos\theta= \frac{49}{36}\]\[1+2sin\theta cos\theta= \frac{49}{36}\]\[2sin\theta cos\theta= \frac{13}{36}\] \[sin\theta - cos\theta\]\[=\sqrt{(sin\theta - cos\theta)^2}\]\[=\sqrt{(sin^2\theta-2sin\theta\cos\theta+\cos^2\theta)}\]You know what \(sin^2\theta + cos^2\theta\) and \(2sin\theta\cos\theta\) are, so you can find the answer.

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

    @Hyun11 Can you explain how you get your answer?

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

    ^http://wolframalpha.com

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

    sin0 + cos0 = 7/6 let sin0 - cos0 = x square both sides of both eqns and add them, you'll get your answer in the very next step.

  7. rox13kh
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how if you are asked \[(\sin \theta)^2 - (\cos \theta)^2\] ? @Callisto

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

    Do you know how to solve for sin(theta) and cos(theta) given the two equations above?

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

    a+b=7/6 a-b=(callisto basically gave you this answer) Solve the system of linear equations

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

    Plug into a^2-b^2 and you got it

  11. rox13kh
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thx, that helped a lot @myininaya

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

    np :)

  13. 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.