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

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

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

3 sin (x) = cos (x)

x = \frac{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{π}{6} + πn

sec^{2} (x) - 3 sec (x) = 0

3 cot (x) + 1 = 0

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

tan (θ) = \frac{5}{3}

tan (x) = \frac{3}{5}

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