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= pi/6+pin

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

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

x = \frac{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{π}{6} + πn

3 cos (x) tan^{2} (x) = cos (x)

cos (x) = cos (3 x)

sin (θ) = tan (θ)

sin (x) = \frac{1}{8}

2 cos (2 θ) = 1

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= pi/6+pin