# Plus Minus

Geometry Level 4

If we are given that $$(1 + \sin x)(1 + \cos x) = \frac54$$, and that $$(1-\sin x)(1- \cos x)$$ can be expressed as $$\frac ab - \sqrt c$$ for positive integers $$a,b,c$$ with $$a,b$$ coprime, find the value of $$a+b+c$$.

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