What is the general solution for -4sin(θ)+5=3sin(θ)+5 ?

The general solution for -4sin(θ)+5=3sin(θ)+5 is θ=2pin,θ=pi+2pin

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-4sin(θ)+5=3sin(θ)+5

- 4 sin (θ) + 5 = 3 sin (θ) + 5

θ = 2 πn, θ = π + 2 πn

Solution steps

- 4 sin (θ) + 5 = 3 sin (θ) + 5

Solve by substitution

sin (θ) = 0

sin (θ) = 0 : θ = 2 πn, θ = π + 2 πn

Combine all the solutions

θ = 2 πn, θ = π + 2 πn

4 tan^{2} (θ) - 25 = 0

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

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

4 sin (θ) cos^{2} (θ) = 3 sin (θ)

sin (x) = \frac{7}{25}

What is the general solution for -4sin(θ)+5=3sin(θ)+5 ?
The general solution for -4sin(θ)+5=3sin(θ)+5 is θ=2pin,θ=pi+2pin