What is the general solution for sin(θ)= 13/85 ?

The general solution for sin(θ)= 13/85 is θ=0.15354…+2pin,θ=pi-0.15354…+2pin

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sin(θ)= 13/85

sin (θ) = \frac{13}{85}

θ = 0.15354 \dots + 2 πn, θ = π - 0.15354 \dots + 2 πn

Degrees

θ = 8.79741 \dots^{\circ} + 36 0^{\circ} n, θ = 171.20258 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{13}{85}

Apply trig inverse properties

sin (θ) = \frac{13}{85}

General solutions for

sin (θ) = \frac{13}{85}

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

θ = arcsin (\frac{13}{85}) + 2 πn, θ = π - arcsin (\frac{13}{85}) + 2 πn

θ = arcsin (\frac{13}{85}) + 2 πn, θ = π - arcsin (\frac{13}{85}) + 2 πn

Show solutions in decimal form

θ = 0.15354 \dots + 2 πn, θ = π - 0.15354 \dots + 2 πn

sin (2 x) = \frac{( 6 m - 5 )}{8}

cos (θ) = \frac{3}{45}

cos^{2} (x) = \frac{9}{16}

sin (4 x) = 0.5

3 cos^{2} (x) + 6 cos (x) = - 3, 0 \leq x \leq 2 π

What is the general solution for sin(θ)= 13/85 ?
The general solution for sin(θ)= 13/85 is θ=0.15354…+2pin,θ=pi-0.15354…+2pin