Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

baldymcgee6

  • 2 years ago

Difference between negative exponent and inverse functions? For example, sine inverse: sin^-1(x) or 1/(sin(x)) = (sin(x))^-1

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

    the negative indice means to find the reciprocal of sin(x) so given \[\sin(x) = \frac{\sin(x)}{1}\] then the reciprocal is \[(\frac{\sin(x)}{1})^{-1} = \frac{1}{\sin(x)}\] and for the inverse function if \[\sin(x) = \frac{a}{b}\] the sin of an angle is equal to a ratio then \[x = \sin^{-1}(\frac{a}{b})\] the angle is equal to the inverse sin of the ratio. its the 2 way connection between and angle and a ratio. hope it helps.

  2. baldymcgee6
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1353436712645:dw|

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

    thats correct.....

  4. baldymcgee6
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1353436831708:dw|

  5. baldymcgee6
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @campbell_st

  6. baldymcgee6
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1353437026561:dw|

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

    ok.... this is where indices and trig seem to clash \[(\sin(x))^2 = \sin^2(x)\] and \[(\frac{(\sin(x))}{1})^{-2} = \frac{1}{(\sin(x))^2} = \frac{1}{\sin^2(x)}\]

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

    hope that makes some sense... the inverse trig is only ever written as \[\sin^{-1}(a)\]

  9. baldymcgee6
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, thanks so much for the clarification.

  10. 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.