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

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

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

3 \cdot sin (x) = 3 \cdot cos (x)

x = \frac{π}{3} + πn

Solution steps

3 sin (x) = 3 cos (x)

Rewrite using trig identities

3 tan (x) = 3

Divide both sides by

3

tan (x) = 3

General solutions for

tan (x) = 3

x = \frac{π}{3} + πn

12 sin (3 x) = 0

sin (θ) cos (θ) = cos (θ)

tan^{2} (2 θ) = 3

tan^{2} (2 θ) = 1

(50.691) cos (50.69 1^{\circ} - c) + sin (50.69 1^{\circ} - c) = 0

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