What is the general solution for sin(θ)= 9/13 ?

The general solution for sin(θ)= 9/13 is θ=0.76468…+2pin,θ=pi-0.76468…+2pin

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sin(θ)= 9/13

sin (θ) = \frac{9}{13}

θ = 0.76468 \dots + 2 πn, θ = π - 0.76468 \dots + 2 πn

Solution steps

sin (θ) = \frac{9}{13}

Apply trig inverse properties

θ = arcsin (\frac{9}{13}) + 2 πn, θ = π - arcsin (\frac{9}{13}) + 2 πn

Show solutions in decimal form

θ = 0.76468 \dots + 2 πn, θ = π - 0.76468 \dots + 2 πn

tan^{2} (x) - sin^{2} (x) = 0

cos (x) = 0, cos (x) = 0

sec^{2} (x) + 4 = 6

8 sin (θ) - 4 csc (θ) = 0

2 cos (θ) = sin (θ)

What is the general solution for sin(θ)= 9/13 ?
The general solution for sin(θ)= 9/13 is θ=0.76468…+2pin,θ=pi-0.76468…+2pin