What is the general solution for sin(θ)=-27/190 ?

The general solution for sin(θ)=-27/190 is θ=-0.14258…+2pin,θ=pi+0.14258…+2pin

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sin(θ)=-27/190

sin (θ) = - \frac{27}{190}

θ = - 0.14258 \dots + 2 πn, θ = π + 0.14258 \dots + 2 πn

Degrees

θ = - 8.16968 \dots^{\circ} + 36 0^{\circ} n, θ = 188.16968 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - \frac{27}{190}

Apply trig inverse properties

sin (θ) = - \frac{27}{190}

General solutions for

sin (θ) = - \frac{27}{190}

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

θ = arcsin (- \frac{27}{190}) + 2 πn, θ = π + arcsin (\frac{27}{190}) + 2 πn

θ = arcsin (- \frac{27}{190}) + 2 πn, θ = π + arcsin (\frac{27}{190}) + 2 πn

Show solutions in decimal form

θ = - 0.14258 \dots + 2 πn, θ = π + 0.14258 \dots + 2 πn

4 sin (θ) = 1 + sin (θ)

tan (θ) - 3 = 0, 0 \leq θ \leq 2 π

\frac{1}{32} \cdot 120 0^{2} \cdot sin (2 θ) = 3000

1 - cos^{2} (a) = sin^{2} (2 a)

4 cos (2 x) = - 2 sin (x)

What is the general solution for sin(θ)=-27/190 ?
The general solution for sin(θ)=-27/190 is θ=-0.14258…+2pin,θ=pi+0.14258…+2pin