What is the general solution for -2sqrt(3)sin(x)+2cos(x)=0 ?

The general solution for -2sqrt(3)sin(x)+2cos(x)=0 is x= pi/6+pin

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-2sqrt(3)sin(x)+2cos(x)=0

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

x = \frac{π}{6} + πn

Solution steps

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

Rewrite using trig identities

- 23 tan (x) + 2 = 0

Move

2

to the right side

- 23 tan (x) = - 2

Divide both sides by

- 23

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

General solutions for

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

x = \frac{π}{6} + πn

2 cos (4 x) - 2 = 0

\frac{3}{2} tan (2 x + 135) = - \frac{3}{2}

6 sin^{2} (θ) - 5 sin (θ) = - 1

csc (x) = - 4

tan (x) = - 3, - 27 0^{\circ} \leq x \leq 27 0^{\circ}

What is the general solution for -2sqrt(3)sin(x)+2cos(x)=0 ?
The general solution for -2sqrt(3)sin(x)+2cos(x)=0 is x= pi/6+pin