Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

¿Did_You_Know?

  • 2 years ago

Evaluate: tan105deg using the sum and difference formulas. I

  • This Question is Closed
  1. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    tan(a+b)=(tan a +tan b)/(1-tan a tan b)....put a =60 and b =45 and solve

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

    where u got 60 and 45?

  3. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    tan(60+45)=tan105...right

  4. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    can u do it nw

  5. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    tan 60 =\[\sqrt{3}\] and tan 45 =1

  6. ¿Did_You_Know?
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i am getting stuck at the part where it is: |dw:1347964171044:dw|

  7. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so \[\tan105= (1+\sqrt{3})/(1-\sqrt{3}) \]

  8. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1347964267571:dw|

  9. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    can u solve this now

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

    wait. why did you square that?

  11. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1347965085424:dw|

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

    arent you suppposed to mutliply it by the bottom one?

  13. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no it is rationalization u multiply num and den both by a coomon value so that the expression remains unaffected

  14. ¿Did_You_Know?
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so it is always the numerator?

  15. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no depends on what simplifies the root if 1-root 3 was there in numerator and 1+root 3 in den the you would multiply num and den by 1-root 3...since (1+root 3)(1-root3)=1-3...using a^2-b^2

  16. ¿Did_You_Know?
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how would you know which one to multiply by tho?

  17. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    multiply with a value that would make denominator a rational one

  18. 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.