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

The general solution for cos(pi+x)+cos(pi+x)=1 is x= pi/3+2pin-pi,x=(5pi)/3+2pin-pi

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cos(pi+x)+cos(pi+x)=1

cos (π + x) + cos (π + x) = 1

x = \frac{π}{3} + 2 πn - π, x = \frac{5 π}{3} + 2 πn - π

Solution steps

cos (π + x) + cos (π + x) = 1

Simplify

cos (π + x) + cos (π + x) : 2 cos (π + x)

2 cos (π + x) = 1

Divide both sides by

2

cos (π + x) = \frac{1}{2}

General solutions for

cos (π + x) = \frac{1}{2}

π + x = \frac{π}{3} + 2 πn, π + x = \frac{5 π}{3} + 2 πn

Solve

π + x = \frac{π}{3} + 2 πn : x = \frac{π}{3} + 2 πn - π

Solve

π + x = \frac{5 π}{3} + 2 πn : x = \frac{5 π}{3} + 2 πn - π

x = \frac{π}{3} + 2 πn - π, x = \frac{5 π}{3} + 2 πn - π

1 + 2 sin (θ) = 0

x, z = arcsin (x y)

2 cos (x) - 2 = 0

4 sin^{2} (θ) - 13 sin (θ) + 9 = 0

23 cos^{2} (x) = sin (x)

What is the general solution for cos(pi+x)+cos(pi+x)=1 ?
The general solution for cos(pi+x)+cos(pi+x)=1 is x= pi/3+2pin-pi,x=(5pi)/3+2pin-pi