SOLUTION: solve sintheta -costheta=sqrt2

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Question 1183222: solve sintheta -costheta=sqrt2
Answer by robertb(5830) About Me  (Show Source):
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sin%28theta%29+-+cos%28theta%29+=+sqrt%282%29
==> %281%2Fsqrt%282%29%29%2Asin%28theta%29+-+%281%2Fsqrt%282%29%29%2Acos%28theta%29+=+1
<==> sin%28theta%29%2Acos45%5E0+-+cos%28theta%29%2Asin45%5E0+=+1
<==> sin%28theta+-+45%5E0%29+=+1

==> theta+-+45%5E0+=+90%5E0+%2B+n%2A360%5E0
<==> theta+=+135%5E0+%2B+n%2A360%5E0