What is the general solution for -sqrt(3)sin(x)-cos(x)=0 ?

The general solution for -sqrt(3)sin(x)-cos(x)=0 is x=(5pi)/6+pin

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-sqrt(3)sin(x)-cos(x)=0

- 3 sin (x) - cos (x) = 0

x = \frac{5 π}{6} + πn

Solution steps

- 3 sin (x) - cos (x) = 0

Rewrite using trig identities

- 3 tan (x) - 1 = 0

Move

1

to the right side

- 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

tan (θ) + sec (θ) = 1

6 sin (x) + 8 = 0

2 cos (x) - 7 = 4 sec (x)

3 (cos (2 x) + \frac{3}{2}) = 6

sin^{2} (x) - 3 = 2 sin (x)

What is the general solution for -sqrt(3)sin(x)-cos(x)=0 ?
The general solution for -sqrt(3)sin(x)-cos(x)=0 is x=(5pi)/6+pin