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

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

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cos(x)=-sqrt(3)sin(x)

cos (x) = - 3 sin (x)

x = \frac{5 π}{6} + πn

Solution steps

cos (x) = - 3 sin (x)

Rewrite using trig identities

- 3 tan (x) = 1

Divide both sides by

- 3

tan (x) = - \frac{3}{3}

General solutions for

tan (x) = - \frac{3}{3}

x = \frac{5 π}{6} + πn

sin (α) = \frac{3}{5}, 0 < a < \frac{π}{2}

- \frac{15 ( 0.5 cos ( x ) - sin ( x ) )}{( 0.5 sin ( x ) + cos ( x ) ) ^{2}} = 0

x, 0.33 = sin (209.42 x)

- 2 + tan (θ) = - 1

sin^{2} (x) + cos^{2} (\frac{2}{5}) = 1

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