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

The general solution for cos(2x)=sqrt(3)sin(2x) is x= pi/(12)+(pin)/2

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cos(2x)=sqrt(3)sin(2x)

cos (2 x) = 3 sin (2 x)

x = \frac{π}{12} + \frac{πn}{2}

Solution steps

cos (2 x) = 3 sin (2 x)

Rewrite using trig identities

3 tan (2 x) = 1

Divide both sides by

3

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

General solutions for

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

2 x = \frac{π}{6} + πn

Solve

2 x = \frac{π}{6} + πn : x = \frac{π}{12} + \frac{πn}{2}

x = \frac{π}{12} + \frac{πn}{2}

3 sin (2 x - 1 5^{\circ}) = cos (2 x - 1 5^{\circ})

sec (\frac{x}{2}) - 2 = 0

sin (x) = \frac{12}{20}

sin (x) = 2 π

sin (θ) = \frac{4}{3}

What is the general solution for cos(2x)=sqrt(3)sin(2x) ?
The general solution for cos(2x)=sqrt(3)sin(2x) is x= pi/(12)+(pin)/2