What is the general solution for sin(θ)=0.12,8<= θ<360 ?

The general solution for sin(θ)=0.12,8<= θ<360 is No Solution for θ\in\mathbb{R}

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sin(θ)=0.12,8<= θ<360

sin (θ) = 0.12, 8 \leq θ < 36 0^{\circ}

No Solution for θ \in R

Solution steps

sin (θ) = 0.12, 8 \leq θ < 36 0^{\circ}

Apply trig inverse properties

sin (θ) = 0.12

General solutions for

sin (θ) = 0.12

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

θ = arcsin (0.12) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (0.12) + 36 0^{\circ} n

θ = arcsin (0.12) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (0.12) + 36 0^{\circ} n

Solutions for the range

8 \leq θ < 36 0^{\circ}

No Solution for θ \in R

0 = 3 cos (x) - 4 sin (x)

30 = 13 cos (\frac{5 π}{3} (x - 1.7)) + 33

sin (2 θ) = \frac{1}{2}, 0 \leq x < 2 π

2 cos (7 x) - 3 = 0

sec (x) - 1 = 0, 0 \leq x \leq 2 π

What is the general solution for sin(θ)=0.12,8<= θ<360 ?
The general solution for sin(θ)=0.12,8<= θ<360 is No Solution for θ\in\mathbb{R}