What is the general solution for 3sin(θ)=1 ?

The general solution for 3sin(θ)=1 is θ=0.33983…+2pin,θ=pi-0.33983…+2pin

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3sin(θ)=1

3 sin (θ) = 1

θ = 0.33983 \dots + 2 πn, θ = π - 0.33983 \dots + 2 πn

Solution steps

3 sin (θ) = 1

Divide both sides by

3

sin (θ) = \frac{1}{3}

Apply trig inverse properties

θ = arcsin (\frac{1}{3}) + 2 πn, θ = π - arcsin (\frac{1}{3}) + 2 πn

Show solutions in decimal form

θ = 0.33983 \dots + 2 πn, θ = π - 0.33983 \dots + 2 πn

sin (A) tan (A) = sin (A)

12 sin^{2} (x) + cos (x) - 5 = 1

3 tan (θ) + 10 = 0

sin^{2} (θ) = 6 (cos (- θ) - 1)

- 2 cos (2 θ) + 3 sin (θ) + 4 = 3

What is the general solution for 3sin(θ)=1 ?
The general solution for 3sin(θ)=1 is θ=0.33983…+2pin,θ=pi-0.33983…+2pin