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

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

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

- 3 sin (x) = cos (x)

x = \frac{5 π}{6} + πn

Solution steps

- 3 sin (x) = cos (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

2 csc^{2} (x) = 5 - 5 cot (x)

sin (x + 0.5) = 0.92, 0 \leq x \leq 2 π

cos (4 x) = 0.8 - 0.6

5 cos^{2} (x) = 4 - 3 sin^{2} (x)

\frac{18 cos ( 2 θ ) + 2 + cos ( θ )}{2} = 0

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