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

The general solution for -sin(2x)=(cos(2x))/(sqrt(3)) is x=(5pi}{12}+\frac{pin)/2

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

- sin (2 x) = \frac{cos ( 2 x )}{3}

x = \frac{5 π}{12} + \frac{πn}{2}

Solution steps

- sin (2 x) = \frac{cos ( 2 x )}{3}

Rewrite using trig identities

- tan (2 x) = \frac{1}{3}

Divide both sides by

- 1

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

General solutions for

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

2 x = \frac{5 π}{6} + πn

Solve

2 x = \frac{5 π}{6} + πn : x = \frac{5 π}{12} + \frac{πn}{2}

x = \frac{5 π}{12} + \frac{πn}{2}

sin (x) + cos (x) \cdot cot (x) = 2

4 sin (θ) = 3 sec (θ)

x, (d^{2} - 3 d + 2) y = cos (e^{- x})

tan (θ) = \frac{6}{12}

(tan (x) + 1)^{2} + (1 + \frac{1}{tan ( x )})^{2} = 100

What is the general solution for -sin(2x)=(cos(2x))/(sqrt(3)) ?
The general solution for -sin(2x)=(cos(2x))/(sqrt(3)) is x=(5pi}{12}+\frac{pin)/2