What is the general solution for sin(θ)= 12/13 ?

The general solution for sin(θ)= 12/13 is θ=1.17600…+2pin,θ=pi-1.17600…+2pin

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sin(θ)= 12/13

sin (θ) = \frac{12}{13}

θ = 1.17600 \dots + 2 πn, θ = π - 1.17600 \dots + 2 πn

Degrees

θ = 67.38013 \dots^{\circ} + 36 0^{\circ} n, θ = 112.61986 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{12}{13}

Apply trig inverse properties

sin (θ) = \frac{12}{13}

General solutions for

sin (θ) = \frac{12}{13}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{12}{13}) + 2 πn, θ = π - arcsin (\frac{12}{13}) + 2 πn

θ = arcsin (\frac{12}{13}) + 2 πn, θ = π - arcsin (\frac{12}{13}) + 2 πn

Show solutions in decimal form

θ = 1.17600 \dots + 2 πn, θ = π - 1.17600 \dots + 2 πn

sin (x) = \frac{1}{5}

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

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

- 3 sin (x) = 0

csc^{2} (x) - 2 csc (x) = 2 - 4 sin (x)

What is the general solution for sin(θ)= 12/13 ?
The general solution for sin(θ)= 12/13 is θ=1.17600…+2pin,θ=pi-1.17600…+2pin