What is the general solution for 3arcsin(2θ)=2pi ?

The general solution for 3arcsin(2θ)=2pi is No Solution for θ\in\mathbb{R}

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3arcsin(2θ)=2pi

3 arcsin (2 θ) = 2 π

No Solution for θ \in R

Solution steps

3 arcsin (2 θ) = 2 π

Divide both sides by

3

3 arcsin (2 θ) = 2 π

Divide both sides by

3

\frac{3 arcsin ( 2 θ )}{3} = \frac{2 π}{3}

Simplify

arcsin (2 θ) = \frac{2 π}{3}

arcsin (2 θ) = \frac{2 π}{3}

- \frac{π}{2} \leq arcsin (x) \leq \frac{π}{2}

No Solution for θ \in R

cos^{3} (x) + cos^{2} (x) - cos (x) - 1 = 0

tan (2 θ) = 1, 0^{\circ} \leq θ \leq 36 0^{\circ}

2 cos (θ) + 2 = 0, 0 \leq θ \leq 2 π

3 tan (\frac{θ}{2}) - 1 = 0

tan (\frac{x}{2}) = 3, 0 \leq x < 2 π

What is the general solution for 3arcsin(2θ)=2pi ?
The general solution for 3arcsin(2θ)=2pi is No Solution for θ\in\mathbb{R}