What is the general solution for sin(θ)=-0.1 ?

The general solution for sin(θ)=-0.1 is θ=-0.10016…+2pin,θ=pi+0.10016…+2pin

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sin(θ)=-0.1

sin (θ) = - 0.1

θ = - 0.10016 \dots + 2 πn, θ = π + 0.10016 \dots + 2 πn

Solution steps

sin (θ) = - 0.1

Apply trig inverse properties

θ = arcsin (- 0.1) + 2 πn, θ = π + arcsin (0.1) + 2 πn

Show solutions in decimal form

θ = - 0.10016 \dots + 2 πn, θ = π + 0.10016 \dots + 2 πn

tan (θ) + 3 = 0, 0 \leq θ \leq 2 π

2 tan (3 x) = 2

4 cot (x) = 11, 0^{\circ} \leq x < 36 0^{\circ}

sin (θ) + 0.755 = 0

- 4 cos^{2} (x) + 42 sin (x) + 6 = 0

What is the general solution for sin(θ)=-0.1 ?
The general solution for sin(θ)=-0.1 is θ=-0.10016…+2pin,θ=pi+0.10016…+2pin