Объяснение:
sin⁴a + 2sin²a * (1-sin a) * (1+sin a) + cos⁴a =
= sin⁴a + 2sin²a * (1²-sin²a) + cos⁴a =
= sin⁴a + 2sin²a * (1-sin²a) + cos⁴a =
= sin⁴a + 2sin²a * cos²a + cos⁴a =
= (sin²a)² + 2sin²a * cos²a + (cos²a)² =
= (sin²a + cos²a)² = 1² = 1 ←→ Ч.Т.Д. (доказано)
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Answers & Comments
Объяснение:
sin⁴a + 2sin²a * (1-sin a) * (1+sin a) + cos⁴a =
= sin⁴a + 2sin²a * (1²-sin²a) + cos⁴a =
= sin⁴a + 2sin²a * (1-sin²a) + cos⁴a =
= sin⁴a + 2sin²a * cos²a + cos⁴a =
= (sin²a)² + 2sin²a * cos²a + (cos²a)² =
= (sin²a + cos²a)² = 1² = 1 ←→ Ч.Т.Д. (доказано)