What is the general solution for sin(θ)= 56/65 ?

The general solution for sin(θ)= 56/65 is θ=1.03829…+2pin,θ=pi-1.03829…+2pin

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sin(θ)= 56/65

sin (θ) = \frac{56}{65}

θ = 1.03829 \dots + 2 πn, θ = π - 1.03829 \dots + 2 πn

Solution steps

sin (θ) = \frac{56}{65}

Apply trig inverse properties

θ = arcsin (\frac{56}{65}) + 2 πn, θ = π - arcsin (\frac{56}{65}) + 2 πn

Show solutions in decimal form

θ = 1.03829 \dots + 2 πn, θ = π - 1.03829 \dots + 2 πn

900 = 400 sin (\frac{2 π t}{365} + \frac{7 π}{8}) + 500

2 sin^{2} (x) + 2 sin (x) = 0

2 sin^{2} (x) = sin (x) + 1, 0 \leq x \leq 2 π

15 tan (θ) - 7 = 5 tan (θ) - 3

sin^{2} (x) - 9 cos (x) + 9 = 0, 0 \leq x \leq 2 π

What is the general solution for sin(θ)= 56/65 ?
The general solution for sin(θ)= 56/65 is θ=1.03829…+2pin,θ=pi-1.03829…+2pin