What is the general solution for tan(θ)sin(θ)-sqrt(3)sin(θ)=0 ?

The general solution for tan(θ)sin(θ)-sqrt(3)sin(θ)=0 is θ=2pin,θ=pi+2pin,θ= pi/3+pin

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tan(θ)sin(θ)-sqrt(3)sin(θ)=0

tan (θ) sin (θ) - 3 sin (θ) = 0

θ = 2 πn, θ = π + 2 πn, θ = \frac{π}{3} + πn

Solution steps

tan (θ) sin (θ) - 3 sin (θ) = 0

Factor

tan (θ) sin (θ) - 3 sin (θ) : sin (θ) (tan (θ) - 3)

sin (θ) (tan (θ) - 3) = 0

Solving each part separately

sin (θ) = 0 or tan (θ) - 3 = 0

sin (θ) = 0 : θ = 2 πn, θ = π + 2 πn

tan (θ) - 3 = 0 : θ = \frac{π}{3} + πn

Combine all the solutions

θ = 2 πn, θ = π + 2 πn, θ = \frac{π}{3} + πn

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

1 = 2 sin (6.28 \cdot t)

x, z = y^{2} tan (x)

cos (t) = (sin (t) = \frac{1}{2}), 0 \leq t < \frac{π}{2}

cos (x) = \frac{10}{15}

What is the general solution for tan(θ)sin(θ)-sqrt(3)sin(θ)=0 ?
The general solution for tan(θ)sin(θ)-sqrt(3)sin(θ)=0 is θ=2pin,θ=pi+2pin,θ= pi/3+pin