Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

itsonlycdeee

  • 2 years ago

Prove the identity. sec θ − cos(−θ) = sin^2θ/cosθ I'm trying to transform the left side to the right side & so far I got: 1/ cosθ - cos(-θ) = 1/cosθ - cosθ =

  • This Question is Closed
  1. cwrw238
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sin^2θ/cosθ = (1 - cos^2θ)/cosθ = 1 / cosθ - cos θ = secθ - cos θ

  2. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if you want to continue from where you have left, try to make a common denominator \(\dfrac{1}{\cos \theta}- \cos \theta \times \dfrac{\cos \theta}{\cos \theta}=\dfrac{1-\cos^2 \theta}{\cos \theta}\) and lastly the use of \(\sin^2 x+\cos^2 x=1\) will lead you to right side :)

  3. itsonlycdeee
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @hartnm okay, that's what I'm attempting right now.

  4. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    good, did you get what i did ? if yes, can you continue ?

  5. itsonlycdeee
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, it becomes sin^2θ/ cosθ. Thank you so much!

  6. hartnn
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you're most welcome ^_^

  7. cwrw238
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    with these problems its often easier to start with the more complicated side as i did here

  8. itsonlycdeee
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @cwrw238 yeah, it'd take a few steps longer to go from the simpler side to the difficult one.

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.