anonymous
  • anonymous
Find all solutions in the interval [0, 2π). cos x = sin x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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cwrw238
  • cwrw238
divide both sides by cos x to give tan x = 1
anonymous
  • anonymous
okay got that
cwrw238
  • cwrw238
the tangent is positive in the first and 3rd quadrants

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anonymous
  • anonymous
so that gives me pi/4, 7pi/4?
cwrw238
  • cwrw238
pi/4 is correct
cwrw238
  • cwrw238
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anonymous
  • anonymous
I have two options with pi/4.. they are 7pi/4 or 5pi/4
cwrw238
  • cwrw238
5pi/4 is correct
cwrw238
  • cwrw238
pi/4 is in third quadrant
RadEn
  • RadEn
alternative : cosx =sinx cosx = cos(90-x) cosx = cos(k*360 + 90-x) x = k*360 + 90-x 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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