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

The general solution for cos(x/2+pi/3)= 1/(sqrt(2)) is x=4pin-pi/6 ,x=4pin+(17pi)/6

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cos(x/2+pi/3)= 1/(sqrt(2))

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

x = 4 πn - \frac{π}{6}, x = 4 πn + \frac{17 π}{6}

Solution steps

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

Simplify

\frac{1}{2} : \frac{2}{2}

General solutions for

cos (\frac{x}{2} + \frac{π}{3}) = \frac{2}{2}

\frac{x}{2} + \frac{π}{3} = \frac{π}{4} + 2 πn, \frac{x}{2} + \frac{π}{3} = \frac{7 π}{4} + 2 πn

Solve

\frac{x}{2} + \frac{π}{3} = \frac{π}{4} + 2 πn : x = 4 πn - \frac{π}{6}

Solve

\frac{x}{2} + \frac{π}{3} = \frac{7 π}{4} + 2 πn : x = 4 πn + \frac{17 π}{6}

x = 4 πn - \frac{π}{6}, x = 4 πn + \frac{17 π}{6}

sinh (x) = \frac{2}{2}

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

- 2 sin (2 x) sin (x) = sin (2 x)

2 sin (θ) - 2 = 0, 0 \leq θ \leq 2 π

sin (θ) - 0.2 cos (θ) = \frac{6.25}{9.8}

What is the general solution for cos(x/2+pi/3)= 1/(sqrt(2)) ?
The general solution for cos(x/2+pi/3)= 1/(sqrt(2)) is x=4pin-pi/6 ,x=4pin+(17pi)/6