What is the general solution for sin(θ)=(sqrt(44))/(12) ?

The general solution for sin(θ)=(sqrt(44))/(12) is θ=0.58568…+2pin,θ=pi-0.58568…+2pin

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sin(θ)=(sqrt(44))/(12)

sin (θ) = \frac{44}{12}

θ = 0.58568 \dots + 2 πn, θ = π - 0.58568 \dots + 2 πn

Solution steps

sin (θ) = \frac{44}{12}

Simplify

\frac{44}{12} : \frac{11}{6}

Apply trig inverse properties

θ = arcsin (\frac{11}{6}) + 2 πn, θ = π - arcsin (\frac{11}{6}) + 2 πn

Show solutions in decimal form

θ = 0.58568 \dots + 2 πn, θ = π - 0.58568 \dots + 2 πn

cos (A) = \frac{2 ^{2} + 2.2 4 ^{2} - 2.2 4 ^{2}}{2 ( 2 ) ( 2.24 )}

cos (θ) = - \frac{3}{5}, θ, 3

sin (3 x) = 0.5

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

- 4 + cos (4 θ) = \frac{- 8 + 3}{2}

What is the general solution for sin(θ)=(sqrt(44))/(12) ?
The general solution for sin(θ)=(sqrt(44))/(12) is θ=0.58568…+2pin,θ=pi-0.58568…+2pin