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kozy
 one year ago
Find all solutions in the interval [0, 2π).
cos x = sin x
kozy
 one year ago
Find all solutions in the interval [0, 2π). cos x = sin x

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

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

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

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

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

RadEn
 one year 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
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