Given that 0 ≤ α ≤ 2 π, the point P (COS α, sin α) is on the curve (X-2) &# 178; + Y & # 178; = 3, then the value of α is a detailed solution

Point P (COS α, sin α) on the curve (X-2) &# 178; + Y & # 178; = 3 can be obtained as follows:
(cosa-2)²+sin²a=3
cos²a-4cosa+4+sin²a=3
-4cosa=-2
It can be concluded that cosa = 1 / 2
Because: 0 ≤ α ≤ 2 π
So a = π / 3 or a = 5 π / 3

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