Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

GOODMAN

  • 2 years ago

Suppose (theta sign) is an angle in standard position whose terminal side lies in the given quadrant. For these functions, find the exact values of the remaining five trigonometric funtctions of (theta) sin(theta)=-4/5; Quadrant 4 tan(theta)=2; Quadrant 1

  • This Question is Closed
  1. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    sin(theta)=-4/5 |dw:1335488862320:dw|

  2. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1335488894071:dw|

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

    How did you get that triangle?

  4. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    I drew a triangle and use the fact the sin (theta)=-4/5 remember sine is opposite over hypothenuse

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

    Ohhh, thats how you did it, okay!

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

    Now the 5 trig funtions of theta? I thought there were 3 trig functions o.O

  7. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    now let's find adjacent side value using pythagorean theorem a^2+4^2=5^2 a^2=25-16 a^2=9 a=3

  8. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1335489127010:dw|

  9. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    now we can see what cos , and tan are cos is adjacent over hypotenuse cos(theta)= 3/5

  10. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Tangent is sin(theta)/cos(theta) -4/5 ------ =-4/3 3/5

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

    Okay, i got those two, what are the other 3 they are looking for?

  12. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    csc(theta)= 1/sin(theta)= 1 = -5/4 ----- -4/5

  13. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    sec(theta)= 1/cos(theta)= 1/ (3/5) = 5/3

  14. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    cot(theta)= 1/tan(theta)= 1/(-4/3) =-3/4

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

    Oh we use the recriprocoals

  16. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yep

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

    Ooooo, that makes much more sense!!! Okay, i know how to do the fraction one as we did now, but what about the second one, tan(theta)=2..how do i set that up?

  18. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    tan(theta)=2=2/1; Quadrant 1 |dw:1335489526582:dw|

  19. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    use pythagorean theorem to find hypotenuse

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

    Okay, so basically, if its a whole number, we put it as a fraction?

  21. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes

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

    Hypotenuse is square root of 3

  23. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    sqrt[2^2+1^2]=sqrt[5]

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

    Srry, did it in my head, got my trusy calculator :D

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

    Okay, i got it, thanks for helpin :D

  26. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    anything for my shrink

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

    LOL, i might just pass algebra 2

  28. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    I took algebra 2 in sophomore year, and it was big deal way back

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

    Im taking it freshman :p

  30. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    smartie

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

    I wish, lol, i just barely pass every time.

  32. imranmeah91
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    pre calc next year and then calculus

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

    arghhh..dont remind me :/ Im taking summer school to prep for it.

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

    Search OpenStudy
    • 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.