Ответ:
[-1; 3]
Пошаговое объяснение:
2sin²x - (cos²x - sin²x) = 3sin²x - cos²x = 3sin²x - (1 - sin²x) = 4sin²x - 1
-1 ≤ sinx ≤ 1
0 ≤ sin²x ≤ 1
0 ≤ 4sin²x ≤ 4
-1 ≤ 4sin²x - 1 ≤ 3
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Verified answer
Ответ:
[-1; 3]
Пошаговое объяснение:
2sin²x - (cos²x - sin²x) = 3sin²x - cos²x = 3sin²x - (1 - sin²x) = 4sin²x - 1
-1 ≤ sinx ≤ 1
0 ≤ sin²x ≤ 1
0 ≤ 4sin²x ≤ 4
-1 ≤ 4sin²x - 1 ≤ 3