What is expand 8sin(pi/(12)(t-15))+4 ?

The solution to expand 8sin(pi/(12)(t-15))+4 is 4sqrt(2)cos((pit)/(12))-4sqrt(2)sin((pit)/(12))+4

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expand 8sin(pi/(12)(t-15))+4

expand

8 sin (\frac{π}{12} (t - 15)) + 4

42 cos (\frac{π t}{12}) - 42 sin (\frac{π t}{12}) + 4

Solution steps

8 sin (\frac{π}{12} (t - 15)) + 4

8 sin (\frac{π}{12} (t - 15)) = 42 (cos (\frac{π t}{12}) - sin (\frac{π t}{12}))

= 42 (cos (\frac{π t}{12}) - sin (\frac{π t}{12})) + 4

Expand

42 (cos (\frac{π t}{12}) - sin (\frac{π t}{12})) : 42 cos (\frac{π t}{12}) - 42 sin (\frac{π t}{12})

= 42 cos (\frac{π t}{12}) - 42 sin (\frac{π t}{12}) + 4

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What is expand 8sin(pi/(12)(t-15))+4 ?
The solution to expand 8sin(pi/(12)(t-15))+4 is 4sqrt(2)cos((pit)/(12))-4sqrt(2)sin((pit)/(12))+4