What is cos(x)+cos(x+60) ?

The solution to cos(x)+cos(x+60) is 3/2 cos(x)-(sqrt(3))/2 sin(x)

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simplify cos(x)+cos(x+60)

simplify

cos (x) + cos (x + 6 0^{\circ})

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

Solution steps

cos (x) + cos (x + 6 0^{\circ})

Rewrite using trig identities

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

Add similar elements:

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

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

sin (3 t - 3 π)

csc (- t)

cos (\frac{π}{2} x + πn x)

2 sin (x - π)

4 cos (60 π t - \frac{π}{4})

What is cos(x)+cos(x+60) ?
The solution to cos(x)+cos(x+60) is 3/2 cos(x)-(sqrt(3))/2 sin(x)