A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
HELP SIMPLIFY (sinx/1cosx)+(1cosx/sinx)
anonymous
 3 years ago
HELP SIMPLIFY (sinx/1cosx)+(1cosx/sinx)

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I believe you have attempted to do it. Where were you stuck? Though the answer isn't that pretty..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0okay so i was thinking of multiplying cosx to the numerator and denominator of the (sinx/1cosx) so then the denominator will be sin^2x and then multiply sinx to (1cosx/sinx) so that both denominators will bbe sin^2x is that even a good first step to take?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0sinx/(1cosx)*(1+cosx)/(1+cosx) + (1cosx/sinx) =sinx(1+cosx)/sin^2 x + (1cosx/sinx) =(1+cosx/sinx)+(1cosx/sinx) =(1+cosx+1cosx)/sinx =2/sinx

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0why did you do this sinx(1+cosx)/sin^2 x or how'd that happen

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh wait nevermind i see what you did there

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0when you multiply (1cosx) by its conjugate (1+cosx), you get (1cos^2 x) which is just sin^2 x > sin^2 x + cos^2 x = 1 so 1cos^2 x=sin^2 x

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0okay well how did that turn into (1+cosx/sinx)?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0there is a sinx in the numerator and a sin^2 x in the denominator. so 1 of them cancels out.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and you got 2/sinx because the +cosx and the cosx cancel out right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0because that is the remaining denominator for both terms.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you can simplify it even further because 1/sinx = cscx so it can also be written as 2cscx

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh okay thank you this was really helpful
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.