What is the general solution for 2cos(x/3)=1 ?

The general solution for 2cos(x/3)=1 is x=pi+6pin,x=5pi+6pin

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2cos(x/3)=1

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

x = π + 6 πn, x = 5 π + 6 πn

Solution steps

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

Divide both sides by

2

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

General solutions for

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

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

Solve

\frac{x}{3} = \frac{π}{3} + 2 πn : x = π + 6 πn

Solve

\frac{x}{3} = \frac{5 π}{3} + 2 πn : x = 5 π + 6 πn

x = π + 6 πn, x = 5 π + 6 πn

0 = 3 tan (x)

sin (b) = \frac{4}{5}

14 (1 - cos (θ)) = sin^{2} (θ)

3 tan (x) sin (x) - 3 tan (x) = 0

4 cos^{2} (x) + 43 cos (x) + 3 = 0

What is the general solution for 2cos(x/3)=1 ?
The general solution for 2cos(x/3)=1 is x=pi+6pin,x=5pi+6pin