What is the general solution for sin(θ)= 7/15 ?

The general solution for sin(θ)= 7/15 is θ=0.48551…+2pin,θ=pi-0.48551…+2pin

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sin(θ)= 7/15

sin (θ) = \frac{7}{15}

θ = 0.48551 \dots + 2 πn, θ = π - 0.48551 \dots + 2 πn

Degrees

θ = 27.81813 \dots^{\circ} + 36 0^{\circ} n, θ = 152.18186 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{7}{15}

Apply trig inverse properties

sin (θ) = \frac{7}{15}

General solutions for

sin (θ) = \frac{7}{15}

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

θ = arcsin (\frac{7}{15}) + 2 πn, θ = π - arcsin (\frac{7}{15}) + 2 πn

θ = arcsin (\frac{7}{15}) + 2 πn, θ = π - arcsin (\frac{7}{15}) + 2 πn

Show solutions in decimal form

θ = 0.48551 \dots + 2 πn, θ = π - 0.48551 \dots + 2 πn

tan^{2} (y) + 3 = 2 sec^{2} (y)

tan (b + 15) \cdot cot (2 b - 5) = 1

cos (x) = \frac{5}{3}

cos (x) = - \frac{7}{8}

tan (x) = - \frac{3}{5}

What is the general solution for sin(θ)= 7/15 ?
The general solution for sin(θ)= 7/15 is θ=0.48551…+2pin,θ=pi-0.48551…+2pin