What is the general solution for cos(x-pi/3)+cos(x+pi/3)=1 ?

The general solution for cos(x-pi/3)+cos(x+pi/3)=1 is x=2pin

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cos(x-pi/3)+cos(x+pi/3)=1

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

x = 2 πn

Solution steps

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

Rewrite using trig identities

cos (x) = 1

General solutions for

cos (x) = 1

x = 0 + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn

sin (2 θ) = \frac{1}{2}, 0 \leq θ \leq 2 π

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

23 cos (x) sin (x) - cos (x) = 2 cos (x)

sec (θ) = \frac{4}{3}

- 12 cos^{2} (θ) + 3 = - 3

What is the general solution for cos(x-pi/3)+cos(x+pi/3)=1 ?
The general solution for cos(x-pi/3)+cos(x+pi/3)=1 is x=2pin