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)

sec^{- 2} (- x) + csc^{- 2} (π - x)

cos (\frac{3 π}{4} - x)

sin (- \frac{π}{3} r a d)

3 sin (2 x - π) + 1

3 sin (2 x - π) + 3

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)