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

The general solution for cos(3x)=sqrt(3)sin(3x) is x= pi/(18)+(pin)/3

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

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

x = \frac{π}{18} + \frac{πn}{3}

Solution steps

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

Rewrite using trig identities

3 tan (3 x) = 1

Divide both sides by

3

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

General solutions for

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

3 x = \frac{π}{6} + πn

Solve

3 x = \frac{π}{6} + πn : x = \frac{π}{18} + \frac{πn}{3}

x = \frac{π}{18} + \frac{πn}{3}

- 3 cos (2 x) = 0

csc (x) + 1 = 0, 0 \leq x < 2 π

15 cos (x) = 7 + cos (x)

sec (x) = 1 - tan^{2} (x)

x, - sin (x y) y = 0

What is the general solution for cos(3x)=sqrt(3)sin(3x) ?
The general solution for cos(3x)=sqrt(3)sin(3x) is x= pi/(18)+(pin)/3