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Answered 2009-12-26 15:14:04
cosx + sinx = 0 when sinx = -cosx.
By dividing both sides by cosx you get:
sinx/cosx = -1
tanx = -1
The values where tanx = -1 are 3pi/4, 7pi/4, etc.
Those are equivalent to 135 degrees, 315 degrees, etc.
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