What is the general solution for sin(θ)= 12/37 ?

The general solution for sin(θ)= 12/37 is θ=0.33029…+2pin,θ=pi-0.33029…+2pin

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sin(θ)= 12/37

sin (θ) = \frac{12}{37}

θ = 0.33029 \dots + 2 πn, θ = π - 0.33029 \dots + 2 πn

Degrees

θ = 18.92464 \dots^{\circ} + 36 0^{\circ} n, θ = 161.07535 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{12}{37}

Apply trig inverse properties

sin (θ) = \frac{12}{37}

General solutions for

sin (θ) = \frac{12}{37}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{12}{37}) + 2 πn, θ = π - arcsin (\frac{12}{37}) + 2 πn

θ = arcsin (\frac{12}{37}) + 2 πn, θ = π - arcsin (\frac{12}{37}) + 2 πn

Show solutions in decimal form

θ = 0.33029 \dots + 2 πn, θ = π - 0.33029 \dots + 2 πn

8 tan (\frac{θ}{2}) + 8 cos (θ) tan (\frac{θ}{2}) = 1

m (0) = sin (2 x) + 2

6 cos^{2} (x) + cos (x) - 1 = 0

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

6 sin^{2} (x) - 5 cos (x) - 2 = 0

What is the general solution for sin(θ)= 12/37 ?
The general solution for sin(θ)= 12/37 is θ=0.33029…+2pin,θ=pi-0.33029…+2pin