What is the general solution for sin(θ)=-2/(sqrt(2)) ?

The general solution for sin(θ)=-2/(sqrt(2)) is No Solution for θ\in\mathbb{R}

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sin(θ)=-2/(sqrt(2))

sin (θ) = - \frac{2}{2}

No Solution for θ \in R

Solution steps

sin (θ) = - \frac{2}{2}

Simplify

- \frac{2}{2} : - 2

- 1 \leq sin (x) \leq 1

No Solution for θ \in R

sin^{2} (x) + sin (x) \cdot cos (x) + cos^{2} (x) = 10

x, sin (x) = \frac{2}{3}

2 sin^{2} (x) = sec (x)

tan (x) = \frac{12}{6}

3 sin (θ) - 2 sin (θ) cos (θ) = 0

What is the general solution for sin(θ)=-2/(sqrt(2)) ?
The general solution for sin(θ)=-2/(sqrt(2)) is No Solution for θ\in\mathbb{R}