What is the general solution for sin(θ)=-0.94 ?

The general solution for sin(θ)=-0.94 is θ=-1.22263…+2pin,θ=pi+1.22263…+2pin

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sin(θ)=-0.94

sin (θ) = - 0.94

θ = - 1.22263 \dots + 2 πn, θ = π + 1.22263 \dots + 2 πn

Degrees

θ = - 70.05155 \dots^{\circ} + 36 0^{\circ} n, θ = 250.05155 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.94

Apply trig inverse properties

sin (θ) = - 0.94

General solutions for

sin (θ) = - 0.94

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

θ = arcsin (- 0.94) + 2 πn, θ = π + arcsin (0.94) + 2 πn

θ = arcsin (- 0.94) + 2 πn, θ = π + arcsin (0.94) + 2 πn

Show solutions in decimal form

θ = - 1.22263 \dots + 2 πn, θ = π + 1.22263 \dots + 2 πn

sin (θ) = 0, 0 \leq θ \leq 2 π

sin (θ) = - 0.71

2 cos (4 x) = 0

tan (2 θ) = \frac{- 1}{1}

cos^{2} (\frac{x}{2}) = \frac{1}{2}

What is the general solution for sin(θ)=-0.94 ?
The general solution for sin(θ)=-0.94 is θ=-1.22263…+2pin,θ=pi+1.22263…+2pin