SOLUTION: What is the solution of cos(x) - sin(x) = 1 on the interval [0,360 degrees]

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Question 677906: What is the solution of cos(x) - sin(x) = 1
on the interval [0,360 degrees]

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What is the solution of cos(x) - sin(x) = 1
on the interval [0,360 degrees]
cosx-sinx= 1
square both sides
cos^2x-2sinxcosx+sin^2x=1
-sin(2x)+1=1
-sin(2x)=0
2x=0,180º
x=0, 90º