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

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

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expand sin(2/3 (x+2pi))

expand

sin (\frac{2}{3} (x + 2 π))

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

Solution steps

sin (\frac{2}{3} (x + 2 π))

Expand

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

= sin (\frac{2}{3} x + 2 π \frac{2}{3})

Rewrite using trig identities

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

\frac{2 ( a ^{2} - b ^{2} )}{ab}

u^{2} + (6) u - (\frac{( - 7 ) ^{3}}{27})

\frac{( a x + x ) ( a y + y )}{a ^{2}}

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

\frac{1}{s \cdot ( s ^{2} + s + 4 )}

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