What is cos(x)+cos(x-pi/3) ?

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

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simplify cos(x)+cos(x-pi/3)

simplify

cos (x) + cos (x - \frac{π}{3})

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

Solution steps

cos (x) + cos (x - \frac{π}{3})

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 (p i t - 4 p i t)

tan (π - 3 x)

2 sin (2 x + 1 5^{\circ})

2 \cdot sin (2 x + \frac{π}{2})

sin (x - \frac{11 π}{2})

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