What is the general solution for sin(θ)=-0.2 ?

The general solution for sin(θ)=-0.2 is θ=-0.20135…+2pin,θ=pi+0.20135…+2pin

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sin(θ)=-0.2

sin (θ) = - 0.2

θ = - 0.20135 \dots + 2 πn, θ = π + 0.20135 \dots + 2 πn

Degrees

θ = - 11.53695 \dots^{\circ} + 36 0^{\circ} n, θ = 191.53695 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.2

Apply trig inverse properties

sin (θ) = - 0.2

General solutions for

sin (θ) = - 0.2

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

θ = arcsin (- 0.2) + 2 πn, θ = π + arcsin (0.2) + 2 πn

θ = arcsin (- 0.2) + 2 πn, θ = π + arcsin (0.2) + 2 πn

Show solutions in decimal form

θ = - 0.20135 \dots + 2 πn, θ = π + 0.20135 \dots + 2 πn

6 cos (2 x) = 5

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

sin (z) = \frac{1}{2}

sin (3 x) = \frac{- 1}{2}

4 cos^{2} (x) + 7 sin (x) - 2 = 0

What is the general solution for sin(θ)=-0.2 ?
The general solution for sin(θ)=-0.2 is θ=-0.20135…+2pin,θ=pi+0.20135…+2pin