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

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

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cos(x)=-sin(pi/3)

cos (x) = - sin (\frac{π}{3})

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

Solution steps

cos (x) = - sin (\frac{π}{3})

sin (\frac{π}{3}) = \frac{3}{2}

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

General solutions for

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

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

2 sin (x) + cos (2 x) = 0

2 cosh^{2} (x) - 3 sinh (x) = 1

3 cos^{2} (θ) - sin^{2} (θ) = 2

x, y = \frac{4}{π} arccos (\frac{x}{4})

tan (θ) = \frac{2}{1.5}

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