What is the general solution for 6sin(θ)=1 ?

The general solution for 6sin(θ)=1 is θ=0.16744…+2pin,θ=pi-0.16744…+2pin

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6sin(θ)=1

6 sin (θ) = 1

θ = 0.16744 \dots + 2 πn, θ = π - 0.16744 \dots + 2 πn

Solution steps

6 sin (θ) = 1

Divide both sides by

6

sin (θ) = \frac{1}{6}

Apply trig inverse properties

θ = arcsin (\frac{1}{6}) + 2 πn, θ = π - arcsin (\frac{1}{6}) + 2 πn

Show solutions in decimal form

θ = 0.16744 \dots + 2 πn, θ = π - 0.16744 \dots + 2 πn

- 5 sin (y) = 0

2 cos (\frac{3 x - π}{6}) + 1 = 0, 0 < x < 2 π

sin (α) = - 1

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

6 sin (t) = 3

What is the general solution for 6sin(θ)=1 ?
The general solution for 6sin(θ)=1 is θ=0.16744…+2pin,θ=pi-0.16744…+2pin