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

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

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

- cos (x - π) = \frac{3}{2}

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

Solution steps

- cos (x - π) = \frac{3}{2}

Divide both sides by

- 1

cos (x - π) = - \frac{3}{2}

General solutions for

cos (x - π) = - \frac{3}{2}

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

Solve

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

Solve

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

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

cos^{4} (x) = 8 cos^{4} (x) - 8 cos^{2} (x) + 1

sin^{2} (x + \frac{π}{2}) = \frac{3}{4}

sin (2 x - \frac{π}{6}) = \frac{1}{2}

2 cos (x) + 1 = 3 sec (x)

csc (θ) = \frac{5}{4}

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