What is expand 200+200cos(pi/6 (t+2)) ?

The solution to expand 200+200cos(pi/6 (t+2)) is 200+100cos((pit)/6)-100sqrt(3)sin((pit)/6)

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expand 200+200cos(pi/6 (t+2))

expand

200 + 200 cos (\frac{π}{6} (t + 2))

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

Solution steps

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}))

Expand

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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\frac{6 cos ^{3} ( s - 2 ) - 6 s ^{4} + 24 s - 48}{s ^{4} ( s - 2 )}

\frac{2 ( k ^{3} + 3 k ^{2} + 5 k + 2 )}{3}

What is expand 200+200cos(pi/6 (t+2)) ?
The solution to expand 200+200cos(pi/6 (t+2)) is 200+100cos((pit)/6)-100sqrt(3)sin((pit)/6)