What is expand 180+54cos(pi/6 (x-1)) ?

The solution to expand 180+54cos(pi/6 (x-1)) is 180+27sqrt(3)cos((pix)/6)+27sin((pix)/6)

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expand 180+54cos(pi/6 (x-1))

expand

180 + 54 cos (\frac{π}{6} (x - 1))

180 + 273 cos (\frac{π x}{6}) + 27 sin (\frac{π x}{6})

Solution steps

180 + 54 cos (\frac{π}{6} (x - 1))

54 cos (\frac{π}{6} (x - 1)) = 54 (\frac{3}{2} cos (\frac{π x}{6}) + \frac{1}{2} sin (\frac{π x}{6}))

= 180 + 54 (\frac{3}{2} cos (\frac{π x}{6}) + \frac{1}{2} sin (\frac{π x}{6}))

Expand

54 (\frac{3}{2} cos (\frac{π x}{6}) + \frac{1}{2} sin (\frac{π x}{6})) : 273 cos (\frac{π x}{6}) + 27 sin (\frac{π x}{6})

= 180 + 273 cos (\frac{π x}{6}) + 27 sin (\frac{π x}{6})

(x^{2} + 2 x) cos (x) d x

cos (y) d x - (x sin (y) - e^{y}) d y

\frac{1}{1 - x}

27 (c + d)^{3} - e^{3}

π (4 - 2 x)^{2}

What is expand 180+54cos(pi/6 (x-1)) ?
The solution to expand 180+54cos(pi/6 (x-1)) is 180+27sqrt(3)cos((pix)/6)+27sin((pix)/6)