![2.4(x + 0.98) = 4.08 \\ 2.4x + 2.352 = 4.08 \\ 2.4x = 4.08 - 2.352 \\ 2.4x = 1.728 \\ x = 1.728 \div 2.4 \\ x = 0.72](https://tex.z-dn.net/?f=2.4%28x+%2B+0.98%29+%3D+4.08+%5C%5C+2.4x+%2B+2.352+%3D+4.08+%5C%5C+2.4x+%3D+4.08+-+2.352+%5C%5C+2.4x+%3D+1.728+%5C%5C+x+%3D+1.728+%5Cdiv+2.4+%5C%5C+x+%3D+0.72)
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По формуле квадрата разности:
(sin t - cos t) ^2 =
sin^2 t - 2sin t cos t + cos ^2 t,
где sin^2 t + cos^2 t = 1,
то есть остаётся:
1 - 2sin t cos t - 1 + 4sin2t
(4sin2t = 4 * 2sin t cos t = 8sin t cos t)
8sin t cos t - 2sin t cos t = 6sin t cos t
Ответ: 6sin t cos t
(^2 - в квадрате)