What is the general solution for cos(7x)=-(sqrt(3))/2 ?

The general solution for cos(7x)=-(sqrt(3))/2 is x=(5pi}{42}+\frac{2pin)/7 ,x= pi/6+(2pin)/7

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cos(7x)=-(sqrt(3))/2

cos (7 x) = - \frac{3}{2}

x = \frac{5 π}{42} + \frac{2 πn}{7}, x = \frac{π}{6} + \frac{2 πn}{7}

Solution steps

cos (7 x) = - \frac{3}{2}

General solutions for

cos (7 x) = - \frac{3}{2}

7 x = \frac{5 π}{6} + 2 πn, 7 x = \frac{7 π}{6} + 2 πn

Solve

7 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{42} + \frac{2 πn}{7}

Solve

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

x = \frac{5 π}{42} + \frac{2 πn}{7}, x = \frac{π}{6} + \frac{2 πn}{7}

y, x sin (y) + cos (x) = 1

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

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

x, 2 \cdot 2.25 \cdot cos (x) = 0

x, 2 sin (x) = 1

What is the general solution for cos(7x)=-(sqrt(3))/2 ?
The general solution for cos(7x)=-(sqrt(3))/2 is x=(5pi}{42}+\frac{2pin)/7 ,x= pi/6+(2pin)/7