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

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

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

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

x = \frac{π}{6} + \frac{πn}{2}

Solution steps

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

Rewrite using trig identities

tan (2 x) = 3

General solutions for

tan (2 x) = 3

2 x = \frac{π}{3} + πn

Solve

2 x = \frac{π}{3} + πn : x = \frac{π}{6} + \frac{πn}{2}

x = \frac{π}{6} + \frac{πn}{2}

sec (x) = - 2, 0 \leq x \leq 2 π

t, g = sin (2 π f t)

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

- 8 sin (8 x) = 0

sin (θ) = - \frac{7}{25}

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