What is the general solution for sin(θ)=-0.671 ?

The general solution for sin(θ)=-0.671 is θ=-0.73555…+2pin,θ=pi+0.73555…+2pin

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sin(θ)=-0.671

sin (θ) = - 0.671

θ = - 0.73555 \dots + 2 πn, θ = π + 0.73555 \dots + 2 πn

Degrees

θ = - 42.14429 \dots^{\circ} + 36 0^{\circ} n, θ = 222.14429 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.671

Apply trig inverse properties

sin (θ) = - 0.671

General solutions for

sin (θ) = - 0.671

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

θ = arcsin (- 0.671) + 2 πn, θ = π + arcsin (0.671) + 2 πn

θ = arcsin (- 0.671) + 2 πn, θ = π + arcsin (0.671) + 2 πn

Show solutions in decimal form

θ = - 0.73555 \dots + 2 πn, θ = π + 0.73555 \dots + 2 πn

cos (y) = sin (y)

\frac{sin ^{2} ( x ) + 5 cos ^{2} ( x )}{2} = 2

2 sin (x) = 7 - 3 csc (x)

cos (θ) = (\frac{134}{109})

cos (2 x + 3 0^{\circ}) = 0

What is the general solution for sin(θ)=-0.671 ?
The general solution for sin(θ)=-0.671 is θ=-0.73555…+2pin,θ=pi+0.73555…+2pin