What is the general solution for sin(θ)=-0.3 ?

The general solution for sin(θ)=-0.3 is θ=-0.30469…+2pin,θ=pi+0.30469…+2pin

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sin(θ)=-0.3

sin (θ) = - 0.3

θ = - 0.30469 \dots + 2 πn, θ = π + 0.30469 \dots + 2 πn

Degrees

θ = - 17.45760 \dots^{\circ} + 36 0^{\circ} n, θ = 197.45760 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.3

Apply trig inverse properties

sin (θ) = - 0.3

General solutions for

sin (θ) = - 0.3

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

θ = arcsin (- 0.3) + 2 πn, θ = π + arcsin (0.3) + 2 πn

θ = arcsin (- 0.3) + 2 πn, θ = π + arcsin (0.3) + 2 πn

Show solutions in decimal form

θ = - 0.30469 \dots + 2 πn, θ = π + 0.30469 \dots + 2 πn

sin (x) = \frac{1}{1.52}

2 cos (x) + 2 = sin^{2} (x)

3 cot (\frac{1}{3} x) = 1

sin (x) = tan (\frac{x}{2})

2 sin^{2} (x) - 17 sin (x) + 8 = 0

What is the general solution for sin(θ)=-0.3 ?
The general solution for sin(θ)=-0.3 is θ=-0.30469…+2pin,θ=pi+0.30469…+2pin