find the extreme values of
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★ sin²(60-x) + sin²(60 + x) = 1.5 cos² x + 0.5 sin² x
= 1.5 (cos²x) + 0.5 (1-cos²x)
= cos²x + 0.5
So 0 ≤ cos²x ≤ 1
Hence,
Minimum value = 0.5 = 1/2
Maximum value = 1.5 = 3/2
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