A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Find the exact value of the inverse trigonometric function
cos(sin^1(root 2/3))
anonymous
 one year ago
Find the exact value of the inverse trigonometric function cos(sin^1(root 2/3))

This Question is Closed

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3Let \[\Large \theta = \sin^{1}\left(\frac{\sqrt{2}}{3}\right)\] So that means \[\Large \sin(\theta) = \frac{\sqrt{2}}{3}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3since \[\Large \sin(\theta) = \frac{\sqrt{2}}{3}\] this means we can draw out this triangle dw:1433388810567:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3what is the missing side?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait how did you know what value corresponds with what angle/side?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3because sine = opposite/hypotenuse dw:1433388989918:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok so you wouldn't adjacent/hypotenuse cause there's a cos?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3well that comes later into play, but when setting up sine, you only deal with opposite/hypotenuse

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay, sorry I might ask a lot of question as a forewarning

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3what's the missing side?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1433389408003:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3so saying \[\Large \cos\left(\sin^{1}\left(\frac{\sqrt{2}}{3}\right)\right)\] is the same exact thing as saying \[\Large \cos\left(\theta\right)\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3Because remember I said "Let \[\Large \theta = \sin^{1}\left(\frac{\sqrt{2}}{3}\right)\]" back up at the top

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3so whats the final answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so is it just root 7? or am I misinterpreting?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1433389714910:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OHHHH ok I get it now~ so it would be root 7/3?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3yep \[\Large \frac{\sqrt{7}}{3}\]
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.