What is the general solution for sin(θ)= 4/13 ?

The general solution for sin(θ)= 4/13 is θ=0.31276…+2pin,θ=pi-0.31276…+2pin

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sin(θ)= 4/13

sin (θ) = \frac{4}{13}

θ = 0.31276 \dots + 2 πn, θ = π - 0.31276 \dots + 2 πn

Solution steps

sin (θ) = \frac{4}{13}

Apply trig inverse properties

θ = arcsin (\frac{4}{13}) + 2 πn, θ = π - arcsin (\frac{4}{13}) + 2 πn

Show solutions in decimal form

θ = 0.31276 \dots + 2 πn, θ = π - 0.31276 \dots + 2 πn

sin (3 x) = - \frac{1}{2}, 0 \leq x \leq 2 π

4 cos (x) - 3 sec (x) = 0

sin (θ) = \frac{11}{61}

sin (4 x) = - \frac{3}{2}

4 cot^{2} (3 x) - 12 csc (3 x) = - 12

What is the general solution for sin(θ)= 4/13 ?
The general solution for sin(θ)= 4/13 is θ=0.31276…+2pin,θ=pi-0.31276…+2pin