A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Difference between negative exponent and inverse functions?
For example,
sine inverse: sin^1(x)
or
1/(sin(x)) = (sin(x))^1
anonymous
 3 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

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1the 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353436712645:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353436831708:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353437026561:dw

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1ok.... this is where indices and trig seem to clash \[(\sin(x))^2 = \sin^2(x)\] and \[(\frac{(\sin(x))}{1})^{2} = \frac{1}{(\sin(x))^2} = \frac{1}{\sin^2(x)}\]

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1hope that makes some sense... the inverse trig is only ever written as \[\sin^{1}(a)\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, thanks so much for the clarification.
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.