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

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

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sin(θ)=sqrt(3)cos(θ)

sin (θ) = 3 cos (θ)

θ = \frac{π}{3} + πn

Solution steps

sin (θ) = 3 cos (θ)

Rewrite using trig identities

tan (θ) = 3

General solutions for

tan (θ) = 3

θ = \frac{π}{3} + πn

2 (cos^{2} (x) - sin^{2} (x)) = 1

- sin (θ) + cos (2 θ) = 1

arctan (2 x - 8) = - 1

- 2 cos (2 θ) - 5 = - 4 sin (θ) - 8

3 cos^{2} (θ) - cos (θ) = 0

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