A community for students.
Here's the question you clicked on:
 0 viewing
kozy
 2 years ago
Find all solutions in the interval [0, 2π).
cos x = sin x
kozy
 2 years ago
Find all solutions in the interval [0, 2π). cos x = sin x

This Question is Open

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.2divide both sides by cos x to give tan x = 1

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.2the tangent is positive in the first and 3rd quadrants

kozy
 2 years ago
Best ResponseYou've already chosen the best response.0so that gives me pi/4, 7pi/4?

kozy
 2 years ago
Best ResponseYou've already chosen the best response.0I have two options with pi/4.. they are 7pi/4 or 5pi/4

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.2pi/4 is in third quadrant

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.0alternative : cosx =sinx cosx = cos(90x) cosx = cos(k*360 + 90x) x = k*360 + 90x 2x = k*360 + 90 x = k*180 + 45 for k=0, > x = 45 degrees for k=1, > x = 225 degrees convert all x to units pi radian, just divides by 180
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.