Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

logynklode

  • 2 years ago

cot x sec4x = cot x + 2 tan x + tan3x

  • This Question is Closed
  1. mahmit2012
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is this equation or identity?

  2. logynklode
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation.

  3. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 12

    \(\cot x \sec^4 x = \cot x + 2 \tan x + \tan^3 x \)

  4. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 12

    its like above ?

  5. logynklode
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    huh?

  6. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 12

    *the equation u seeing in ur assessment sheet, is it like the one ive posted above ?

  7. logynklode
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its tan cubed x at the end other then that yes

  8. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 12

    ok thnks :) pick the side that has more terms, and do SOMETHING and try getting to the other side

  9. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 12

    here, the right side has more terms, right ?

  10. logynklode
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what? the irght side has more terms yeah

  11. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 12

    ya so we start with that side, and work, and prove that it equals left side.

  12. logynklode
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay

  13. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 12

    \(\cot x + 2\tan x + \tan^3 x\) \(\frac{1}{\tan x} + 2\tan x + \tan^3 x\) \(\frac{1+ 2\tan^2 x + \tan^4 x}{\tan x}\) \(\frac{1+ \tan^2 x + \tan^2x + \tan^4 x}{\tan x}\) \(\frac{\sec^2 x + \tan^2x + \tan^4 x}{\tan x}\) \(\frac{\sec^2 x + \tan^2x(1 + \tan^2 x)}{\tan x}\) \(\frac{\sec^2 x + \tan^2x(\sec^2 x)}{\tan x}\) \(\frac{\sec^2 x(1 + \tan^2x)}{\tan x}\) \(\frac{\sec^2 x(\sec^2 x)}{\tan x}\) \(\frac{\sec^4 x}{\tan x}\) \(\cot x\sec^4 x\) = LEFT HAND SIDE

  14. ganeshie8
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 12

    thats the complete solution; see if it makes sense

  15. jishan
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    good solve ganeshie.,...........

  16. rubypearl11
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    How did you get rid of the tan^4x? @ganeshie8?

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

    @ganeshie8 i dont understand ur solution

  18. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 12

    hmm which line ?

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

    the 3rd line from the end.

  20. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 12

    \[\large \frac{\sec^2 x + \tan^2x(\sec^2 x)}{\tan x}\]

  21. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 12

    you're fine, till this line ?

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

    yes

  23. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 12

    good, next factor out `sec^2x` from both terms, you get : \[\large \frac{\sec^2 x(1 + \tan^2x)}{\tan x}\]

  24. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 12

    still fine ?

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

    oh,ok.so u factored out the sec^2x from the whole numerator?

  26. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 12

    exactly !

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

    great!thnku very much @ganeshie8

  28. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 12

    np :)

  29. 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.