What is expand 5/2 cos(1/2)(x+pi/2) ?

The solution to expand 5/2 cos(1/2)(x+pi/2) is (5cos(1/2)x)/2+(5pi)/4 cos(1/2)

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expand 5/2 cos(1/2)(x+pi/2)

expand

\frac{5}{2} cos (\frac{1}{2}) (x + \frac{π}{2})

\frac{5 cos ( \frac{1}{2} ) x}{2} + \frac{5 π}{4} cos (\frac{1}{2})

Solution steps

\frac{5}{2} cos (\frac{1}{2}) (x + \frac{π}{2})

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{5}{2} cos (\frac{1}{2}), b = x, c = \frac{π}{2}

= \frac{5}{2} cos (\frac{1}{2}) x + \frac{5}{2} cos (\frac{1}{2}) \frac{π}{2}

= \frac{5}{2} cos (\frac{1}{2}) x + \frac{5}{2} \cdot \frac{π}{2} cos (\frac{1}{2})

Simplify

\frac{5}{2} cos (\frac{1}{2}) x + \frac{5}{2} \cdot \frac{π}{2} cos (\frac{1}{2}) : \frac{5 cos ( \frac{1}{2} ) x}{2} + \frac{5 π}{4} cos (\frac{1}{2})

= \frac{5 cos ( \frac{1}{2} ) x}{2} + \frac{5 π}{4} cos (\frac{1}{2})

- 42 (- 14 e^{- 7 x^{2}} x^{2} + e^{- 7 x^{2}})

\frac{1}{( n + 1 ) n}

(e^{x} + 2 x)^{2}

2^{x} (2^{x} \cdot 2)

12 (1 - \frac{256}{x ^{2}})

What is expand 5/2 cos(1/2)(x+pi/2) ?
The solution to expand 5/2 cos(1/2)(x+pi/2) is (5cos(1/2)x)/2+(5pi)/4 cos(1/2)