SOLUTION: if the distance between points p1(sinx,cosx)and p2(cosx,y)is square root of 2,what is the value of y?

Question 839104:
if the distance between points p1(sinx,cosx)and p2(cosx,y)is square root of 2,what is the value of y?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if the distance between points p1(sinx,cosx)and p2(cosx,y)is square root of 2,what is the value of y?
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(sin-cos)^2 + (cos-y)^2 = 2
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sin^2-2sin*cos+cos^2 + (cos-y)^2 = 2
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1 - sin(2x) + (cos-y)^2 = 2
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(cos-y)^2 = -1-sin(2x)
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cos-y = sqrt(-1-sin(2x))
y = cos(x)-sqrt(-1-sin(2x))
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Cheers,
Stan H.
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