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

SugarRainbow Group Title

combine the fractions and simplify to a multiple of a power of a basic trigonometric function sinx/cot^2x-sinx/cos^2x?

  • one year ago
  • one year ago

  • This Question is Closed
  1. SugarRainbow Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    can i change the sinx/cos^2x into tan^2x?

    • one year ago
  2. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Hmm no. You can take ONE of the cosines, and change it to tanx*(1/cosx) But I dont know if that's the right way to go c: hmm

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

    \[\large \frac{ \sin x }{ \cot^2 x }-\frac{ \sin x }{ \cos^2 x }=\frac{ \sin x }{ (\frac{ \cos^2 x }{ \sin^2 x }) }-\frac{ \sin x }{ \cos^2 x }\] \[\large \frac{ \sin x }{ 1 }*\frac{ \sin^2 x }{ \cos^2 x }-\frac{ \sin x }{ \cos^2 x }\]

    • one year ago
  4. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    There are multiple ways to simplify it, since there are so many trig identities, so you might find a different way... but this is what I was thinking :3

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

    \[\large \frac{ \sin^3 x - \sin x }{ \cos^2 x }\]

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

    Confused about any of that so far? :D

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

    how did you get sinx/1∗sin^2x/cos^2x

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

    \[\large \frac{ \left(\frac{ a }{ b }\right) }{ \left(\frac{ c }{ d }\right) }=\frac{ a }{ b }*\frac{ d }{ c }\]

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

    Remember how you can do that? when dividing fractions :D flip the bottom one and rewrite it as multiplication.

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

    but the top wasn't a fraction yet it was sinx/ (cos^2x/sin^2x)

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

    oh wait you put it over 1 to make it into a fraction huh?

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

    \[\huge \frac{ \left(\sin x \right) }{ \left(\frac{ \cos^2 x }{ \sin^2 x } \right) }=\frac{ \left(\frac{ \sin x }{ 1 } \right) }{ \left(\frac{ \cos^2 x }{ \sin^2 x } \right) }\]

    • one year ago
  13. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yah hehe :3

    • one year ago
  14. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I gotta go, so lemme post the rest of the steps, and you can at least look at them while I'm gone. I won't be here to answer questions though :c

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

    okay

    • one year ago
  16. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large \frac{ \sin^3 x - \sin x }{ \cos^2 x }=\frac{ \sin x(\sin^2 x - 1) }{ 1-\sin^2 x }\]

    • one year ago
  17. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Factored a sinx from each term in the top. Rewrote cos^2 as 1-sin^2 using identity :D

    • one year ago
  18. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Now if we factor a -1 ouch of each term in the top brackets, we'll have a nice easy cancellation.

    • one year ago
  19. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large \frac{ -\sin x(1-\sin^2 x) }{ 1-\sin^2 x }=-\sin x\]

    • one year ago
  20. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Hopefully I didn't make a mistake in there :D heh

    • one year ago
  21. SugarRainbow Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    alright well thanks

    • one year 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.