What is the general solution for sin(θ)= 15/23 ?

The general solution for sin(θ)= 15/23 is θ=0.71044…+2pin,θ=pi-0.71044…+2pin

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sin(θ)= 15/23

sin (θ) = \frac{15}{23}

θ = 0.71044 \dots + 2 πn, θ = π - 0.71044 \dots + 2 πn

Degrees

θ = 40.70570 \dots^{\circ} + 36 0^{\circ} n, θ = 139.29429 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{15}{23}

Apply trig inverse properties

sin (θ) = \frac{15}{23}

General solutions for

sin (θ) = \frac{15}{23}

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

θ = arcsin (\frac{15}{23}) + 2 πn, θ = π - arcsin (\frac{15}{23}) + 2 πn

θ = arcsin (\frac{15}{23}) + 2 πn, θ = π - arcsin (\frac{15}{23}) + 2 πn

Show solutions in decimal form

θ = 0.71044 \dots + 2 πn, θ = π - 0.71044 \dots + 2 πn

3 sin^{2} (x) + 6 sin (x) - 11 = 7 sin (x) - 9

sin^{2} (a) = 2 sin (a)

sin (3 x - 50) cos (x) - cos (3 x - 50) sin (x) = 0, 0^{\circ} \leq x \leq 18 0^{\circ}

10 cos^{2} (x) = 9

2 sin (x) tan (x) + tan (x) = 0

What is the general solution for sin(θ)= 15/23 ?
The general solution for sin(θ)= 15/23 is θ=0.71044…+2pin,θ=pi-0.71044…+2pin