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

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

kozy Group TitleBest ResponseYou've already chosen the best response.0
okay got that
 one year ago

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

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

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
pi/4 is correct
 one year ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
dw:1364766655163:dw
 one year ago

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

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
5pi/4 is correct
 one year ago

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

RadEn Group TitleBest ResponseYou've already chosen the best response.0
alternative : 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
 one year ago
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