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anonymous
 3 years ago
Find all solutions in the interval [0, 2π).
cos x = sin x
anonymous
 3 years ago
Find all solutions in the interval [0, 2π). cos x = sin x

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

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

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

anonymous
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.2pi/4 is in third quadrant

RadEn
 3 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
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