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

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

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

simplify

sin (x) + sin (x + \frac{2 π}{3})

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

Solution steps

sin (x) + sin (x + \frac{2 π}{3})

Rewrite using trig identities

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

Add similar elements:

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

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

j cos (10 n - \frac{π}{2})

sin (3 \cdot (- θ))

x^{33} sin (3 x - \frac{π}{2})

cos (10 t + \frac{11}{12} π)

sec (arccot (\frac{x}{3}))

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