What is the general solution for sin(θ)=-0.342 ?

The general solution for sin(θ)=-0.342 is θ=-0.34904…+2pin,θ=pi+0.34904…+2pin

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sin(θ)=-0.342

sin (θ) = - 0.342

θ = - 0.34904 \dots + 2 πn, θ = π + 0.34904 \dots + 2 πn

Degrees

θ = - 19.99877 \dots^{\circ} + 36 0^{\circ} n, θ = 199.99877 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - 0.342

Apply trig inverse properties

sin (θ) = - 0.342

General solutions for

sin (θ) = - 0.342

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

θ = arcsin (- 0.342) + 2 πn, θ = π + arcsin (0.342) + 2 πn

θ = arcsin (- 0.342) + 2 πn, θ = π + arcsin (0.342) + 2 πn

Show solutions in decimal form

θ = - 0.34904 \dots + 2 πn, θ = π + 0.34904 \dots + 2 πn

sin (x) = - 0.135

1 - csc^{2} (x) = cot^{2} (x)

sin (a) = 0.527

2 + 2 sin (θ) = 7 sin (θ)

sin (2 x) = 0.03

What is the general solution for sin(θ)=-0.342 ?
The general solution for sin(θ)=-0.342 is θ=-0.34904…+2pin,θ=pi+0.34904…+2pin