Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

starkeyfish

Verify the identity: (1-sinx)/cosx = cosx/(1+sinx)

  • 11 months ago
  • 11 months ago

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

    LS = (1-sinx)/cosx = 1/cosx - sinx/cosx RS = \(\large\frac{cosx}{1+sinx}\) = \(\large\frac{cosx(1-sinx)}{(1+sinx)(1-sinx)}\) = \( \large\frac{cosx}{1-sin^2x} - \frac{cosxsinx}{1-sin^2x}\) =.... Note: \[1 = cos^2x + sin^2x \]

    • 11 months ago
  2. Jhannybean
    Best Response
    You've already chosen the best response.
    Medals 0

    why is it so tiny!

    • 11 months ago
  3. .Sam.
    Best Response
    You've already chosen the best response.
    Medals 0

    Because its a spoiler

    • 11 months ago
  4. starkeyfish
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm very bad at basic math , so I'm finding all of this to be very foreign.

    • 11 months ago
  5. RolyPoly
    Best Response
    You've already chosen the best response.
    Medals 2

    Actually, simply working from the left is ok :D \[RS = \frac{cosx}{(1+sinx)}\]\[=\frac{cos}{1+sinx}\times \frac{1-sinx}{1-sinx}\]By the identity a^2 - b^2 = (a+b)(a-b), we get\[=\frac{cos(1-sinx)}{1-sin^2x}\]Then, \(sin^2x+cos^2x =1\) to express \(1-sin^2x\) in terms of \(cos^2x\). Finally, cancel the common factor, and you'll get the left side!

    • 11 months ago
  6. starkeyfish
    Best Response
    You've already chosen the best response.
    Medals 0

    so 1-sin^2 = cos^2x?

    • 11 months ago
  7. RolyPoly
    Best Response
    You've already chosen the best response.
    Medals 2

    Oh, yes.

    • 11 months ago
  8. starkeyfish
    Best Response
    You've already chosen the best response.
    Medals 0

    okay, thank you!

    • 11 months ago
  9. RolyPoly
    Best Response
    You've already chosen the best response.
    Medals 2

    You're welcome~~

    • 11 months ago
    • Attachments:

See more questions >>>

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.