What is expand 5cos(2(x+pi/3)) ?

The solution to expand 5cos(2(x+pi/3)) is 5(-1/2 cos(2x)-(sqrt(3))/2 sin(2x))

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expand 5cos(2(x+pi/3))

expand

5 cos (2 (x + \frac{π}{3}))

5 (- \frac{1}{2} cos (2 x) - \frac{3}{2} sin (2 x))

Solution steps

5 cos (2 (x + \frac{π}{3}))

Expand

2 (x + \frac{π}{3}) : 2 x + \frac{2 π}{3}

= 5 cos (2 x + \frac{2 π}{3})

Rewrite using trig identities

= 5 (- \frac{1}{2} cos (2 x) - \frac{3}{2} sin (2 x))

(2 x + y) (cos (t)) + (2 y + x) (e^{t})

\frac{5 ( x - 3 ) ^{5}}{16}

\frac{( x + 1 ) ( - x + 10 )}{2}

e^{- 2 (x + y i)}

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

What is expand 5cos(2(x+pi/3)) ?
The solution to expand 5cos(2(x+pi/3)) is 5(-1/2 cos(2x)-(sqrt(3))/2 sin(2x))