What is the general solution for sin(θ)=0.33 ?

The general solution for sin(θ)=0.33 is θ=0.33630…+2pin,θ=pi-0.33630…+2pin

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sin(θ)=0.33

sin (θ) = 0.33

θ = 0.33630 \dots + 2 πn, θ = π - 0.33630 \dots + 2 πn

Solution steps

sin (θ) = 0.33

Apply trig inverse properties

θ = arcsin (0.33) + 2 πn, θ = π - arcsin (0.33) + 2 πn

Show solutions in decimal form

θ = 0.33630 \dots + 2 πn, θ = π - 0.33630 \dots + 2 πn

3 cot^{2} (3 x) - 9 = 0

0 = cos (5 θ)

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

tan (x) = - \frac{5}{12}

cos (x) = 0.63

What is the general solution for sin(θ)=0.33 ?
The general solution for sin(θ)=0.33 is θ=0.33630…+2pin,θ=pi-0.33630…+2pin