What is the general solution for sin(θ)=sqrt(3)cos(θ),0<= θ<2pi ?

The general solution for sin(θ)=sqrt(3)cos(θ),0<= θ<2pi is θ= pi/3 ,θ=(4pi)/3

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sin(θ)=sqrt(3)cos(θ),0<= θ<2pi

sin (θ) = 3 cos (θ), 0 \leq θ < 2 π

θ = \frac{π}{3}, θ = \frac{4 π}{3}

Solution steps

sin (θ) = 3 cos (θ), 0 \leq θ < 2 π

Rewrite using trig identities

tan (θ) = 3

General solutions for

tan (θ) = 3

θ = \frac{π}{3} + πn

Solutions for the range

0 \leq θ < 2 π

θ = \frac{π}{3}, θ = \frac{4 π}{3}

cos (2 x) - \frac{1}{3} cos (x) = 0

3 = 23 sin (x)

8 cos (6 x) = 2

sin (x) = \frac{- ( 6 )}{( 7 ) cos ( x )}

5^{2} = 8^{2} - (11.85)^{2} - 2 (8) (11.85) (cos (A))

What is the general solution for sin(θ)=sqrt(3)cos(θ),0<= θ<2pi ?
The general solution for sin(θ)=sqrt(3)cos(θ),0<= θ<2pi is θ= pi/3 ,θ=(4pi)/3