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

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

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

3 sin (x) = 3 cos (x)

x = \frac{π}{6} + πn

Solution steps

3 sin (x) = 3 cos (x)

Rewrite using trig identities

3 tan (x) = 3

Divide both sides by

3

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

General solutions for

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

x = \frac{π}{6} + πn

- 4 sin^{2} (θ) - 7 sin (θ) + 4 = 0

cos (8 x) - cos (4 x) = 0

cos (x) = \frac{4}{3}

cos^{2} (θ) - sin (θ) cos (θ) = 0

x, cos (2 x) + cos (x) = 0

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