What is the general solution for sin(θ)= 3/(3sqrt(5)) ?

The general solution for sin(θ)= 3/(3sqrt(5)) is θ=0.46364…+2pin,θ=pi-0.46364…+2pin

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sin(θ)= 3/(3sqrt(5))

sin (θ) = \frac{3}{3 5}

θ = 0.46364 \dots + 2 πn, θ = π - 0.46364 \dots + 2 πn

Solution steps

sin (θ) = \frac{3}{3 5}

Simplify

\frac{3}{3 5} : \frac{5}{5}

Apply trig inverse properties

θ = arcsin (\frac{5}{5}) + 2 πn, θ = π - arcsin (\frac{5}{5}) + 2 πn

Show solutions in decimal form

θ = 0.46364 \dots + 2 πn, θ = π - 0.46364 \dots + 2 πn

6 cos (θ) sin (θ) + cos (θ) = 0

cos (x) + cos (5 x) = 0

7 cos (t) + 5 sin (t) = 0

cos (X) = 0.4848

\frac{π}{3} = 3 + 2 sin (2 t)

What is the general solution for sin(θ)= 3/(3sqrt(5)) ?
The general solution for sin(θ)= 3/(3sqrt(5)) is θ=0.46364…+2pin,θ=pi-0.46364…+2pin