What is the general solution for sin(θ)= 7/11 ?

The general solution for sin(θ)= 7/11 is θ=0.68977…+2pin,θ=pi-0.68977…+2pin

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sin(θ)= 7/11

sin (θ) = \frac{7}{11}

θ = 0.68977 \dots + 2 πn, θ = π - 0.68977 \dots + 2 πn

Solution steps

sin (θ) = \frac{7}{11}

Apply trig inverse properties

θ = arcsin (\frac{7}{11}) + 2 πn, θ = π - arcsin (\frac{7}{11}) + 2 πn

Show solutions in decimal form

θ = 0.68977 \dots + 2 πn, θ = π - 0.68977 \dots + 2 πn

12 sin (t) cos (t) = 8 sin (t)

4 sin^{2} (x) - 8 sin (x) + 3 = 0

3 tan (2 x) + 3 = 0

tan (2 x + 13) = cot (x + 5 3^{\circ})

sin (2 x) - 3 sin (x) = 0

What is the general solution for sin(θ)= 7/11 ?
The general solution for sin(θ)= 7/11 is θ=0.68977…+2pin,θ=pi-0.68977…+2pin