Three points a(0,0),b(cosx,siny),c(cosβ,sinβ) are vertices of right triangle only if
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《(0,1) or (0,3)》
C=(0,c)
AB²=4+36=40
AC²=(5-c)²+4=c²-10c+29
BC²=(c+1)²+16=c²+2c+17
AB²=BC²+AC²
40=2c²-8c+46
20=c²-4c+23
c²-4c+3=0
(c-1)(c-3)=0
c=3 or 1
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