Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

amber15

  • 2 years ago

Simplify the trigonometric expression. 1/1+ sin theta + 1/1-sin theta A, 2 cos^2 theta B. 2 sec^2 theta C. 2 csc^2 theta D. 2 cot^2 theta A,2 cos^2 theta B. 2 sec ^2 theta C. 2 csc^2 theta D, 2 cot^2 theta my answer is B can some one tell me if im correct i know C and A are not correct answers

  • This Question is Closed
  1. calculusfunctions
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 4

    \[\frac{ 1 }{ 1+\sin \theta }+\frac{ 1 }{ 1-\sin \theta }\] The LCD (least common multiple of the denominators) is (1 + sin θ)(1 − sin θ). Hence \[\frac{ 1 }{ 1+\sin \theta }+\frac{ 1 }{ 1-\sin \theta }\] \[=\frac{ 1-\sin \theta }{(1+\sin \theta)(1-\sin \theta) }+\frac{ 1+\sin \theta }{ (1+\sin \theta)(1-\sin \theta) }\] \[=\frac{ 1-\sin \theta +1+\sin \theta }{ (1+\sin \theta)(1-\sin \theta) }\] \[=\frac{ 2 }{ 1-\sin ^{2}\theta }\] \[=\frac{ 2 }{ \cos ^{2}\theta }\] \[=2\sec ^{2}\theta \] I hope that helps!

  2. amber15
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    thank you

  3. amber15
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so the answer is D

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

    You mean B, don't you?

  5. amber15
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    OOPS yes

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

    Good! Don't I get a medal? lol

  7. amber15
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes you get a medal and thank you

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

    Haha! I was just trying to be funny but thank you!

  9. amber15
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you did good on explaining tho

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

    Thank you!

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

    @amber15 do you remember if this answer was correct?

  12. amber15
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes it is correct

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

    Thank you so much!

  14. amber15
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    your welcome

  15. 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.