Verified answer

sin⁴ t - 2sin²t cos²t + cos⁴ t = (sin² t - cos²t )² = (sin²t - 1 + sin²t)² = (2sin²t - 1)² = (1 - 2sin²t)² доказано

Verified answer

Ответ:

Доказать: sin⁴t-2·sin²t·cos²t+cos⁴t=(1-2·sin²t)²

Доказательство:

sin⁴t-2·sin²t·cos²t+cos⁴t=(cos²t-sin²t)²=((1-sin²t)-sin²t)²=(1-sin²t-sin²t)²=(1-2·sin²t)²