What is the general solution for sin(θ)=-0.78 ?

The general solution for sin(θ)=-0.78 is θ=-0.89466…+2pin,θ=pi+0.89466…+2pin

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sin(θ)=-0.78

sin (θ) = - 0.78

θ = - 0.89466 \dots + 2 πn, θ = π + 0.89466 \dots + 2 πn

Degrees

θ = - 51.26057 \dots^{\circ} + 36 0^{\circ} n, θ = 231.26057 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.78

Apply trig inverse properties

sin (θ) = - 0.78

General solutions for

sin (θ) = - 0.78

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

θ = arcsin (- 0.78) + 2 πn, θ = π + arcsin (0.78) + 2 πn

θ = arcsin (- 0.78) + 2 πn, θ = π + arcsin (0.78) + 2 πn

Show solutions in decimal form

θ = - 0.89466 \dots + 2 πn, θ = π + 0.89466 \dots + 2 πn

What is the general solution for sin(θ)=-0.78 ?
The general solution for sin(θ)=-0.78 is θ=-0.89466…+2pin,θ=pi+0.89466…+2pin