What is the general solution for sin(θ)= 11/61 ?

The general solution for sin(θ)= 11/61 is θ=0.18131…+2pin,θ=pi-0.18131…+2pin

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sin(θ)= 11/61

sin (θ) = \frac{11}{61}

θ = 0.18131 \dots + 2 πn, θ = π - 0.18131 \dots + 2 πn

Solution steps

sin (θ) = \frac{11}{61}

Apply trig inverse properties

θ = arcsin (\frac{11}{61}) + 2 πn, θ = π - arcsin (\frac{11}{61}) + 2 πn

Show solutions in decimal form

θ = 0.18131 \dots + 2 πn, θ = π - 0.18131 \dots + 2 πn

sin (4 x) = - \frac{3}{2}

4 cot^{2} (3 x) - 12 csc (3 x) = - 12

cot (x - \frac{π}{2}) + 3 = 0

8 tan (θ) + 5 = 0

cos (\frac{θ}{2}) = \frac{2}{2}

What is the general solution for sin(θ)= 11/61 ?
The general solution for sin(θ)= 11/61 is θ=0.18131…+2pin,θ=pi-0.18131…+2pin