展开 200+200cos(pi/6 (t+2))

解答

展开

200 + 200 cos (\frac{π}{6} (t + 2))

200 + 100 cos (\frac{π t}{6}) - 1003 sin (\frac{π t}{6})

求解步骤

200 + 200 cos (\frac{π}{6} (t + 2))

200 cos (\frac{π}{6} (t + 2)) = 200 (\frac{1}{2} cos (\frac{π t}{6}) - \frac{3}{2} sin (\frac{π t}{6}))

= 200 + 200 (\frac{1}{2} cos (\frac{π t}{6}) - \frac{3}{2} sin (\frac{π t}{6}))

乘开

200 (\frac{1}{2} cos (\frac{π t}{6}) - \frac{3}{2} sin (\frac{π t}{6})) : 100 cos (\frac{π t}{6}) - 1003 sin (\frac{π t}{6})

= 200 + 100 cos (\frac{π t}{6}) - 1003 sin (\frac{π t}{6})

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