What is the general solution for cos(pi/4+x)=(sqrt(3))/2 ?

The general solution for cos(pi/4+x)=(sqrt(3))/2 is x=2pin-pi/(12),x=2pin+(19pi)/(12)

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cos(pi/4+x)=(sqrt(3))/2

cos (\frac{π}{4} + x) = \frac{3}{2}

x = 2 πn - \frac{π}{12}, x = 2 πn + \frac{19 π}{12}

Solution steps

cos (\frac{π}{4} + x) = \frac{3}{2}

General solutions for

cos (\frac{π}{4} + x) = \frac{3}{2}

\frac{π}{4} + x = \frac{π}{6} + 2 πn, \frac{π}{4} + x = \frac{11 π}{6} + 2 πn

Solve

\frac{π}{4} + x = \frac{π}{6} + 2 πn : x = 2 πn - \frac{π}{12}

Solve

\frac{π}{4} + x = \frac{11 π}{6} + 2 πn : x = 2 πn + \frac{19 π}{12}

x = 2 πn - \frac{π}{12}, x = 2 πn + \frac{19 π}{12}

sin (3 x) - sin (2 x) = 0

2 cos^{2} (θ) = - cos (θ)

20 cos^{2} (x) + sin (x) - 19 = 0

- 2 sin (θ) - sin (2 θ) = 0

cos (5 x) = - \frac{1}{2}

What is the general solution for cos(pi/4+x)=(sqrt(3))/2 ?
The general solution for cos(pi/4+x)=(sqrt(3))/2 is x=2pin-pi/(12),x=2pin+(19pi)/(12)