What is the general solution for 5sin(θ)-sqrt(3)=3sin(θ) ?

The general solution for 5sin(θ)-sqrt(3)=3sin(θ) is θ= pi/3+2pin,θ=(2pi)/3+2pin

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5sin(θ)-sqrt(3)=3sin(θ)

5 sin (θ) - 3 = 3 sin (θ)

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

Solution steps

5 sin (θ) - 3 = 3 sin (θ)

Solve by substitution

sin (θ) = \frac{3}{2}

sin (θ) = \frac{3}{2} : θ = \frac{π}{3} + 2 πn, θ = \frac{2 π}{3} + 2 πn

Combine all the solutions

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

sin^{3} (x) - 4 sin (x) = 0

cos (a) = \frac{- 82}{140 \cdot 138}

sec^{2} (x) - cos (x) = 0

sin (x) \cdot sec (x) = 0

cos (x) = - 0.1235, 0 \leq x \leq 2 π

What is the general solution for 5sin(θ)-sqrt(3)=3sin(θ) ?
The general solution for 5sin(θ)-sqrt(3)=3sin(θ) is θ= pi/3+2pin,θ=(2pi)/3+2pin