What is the general solution for -2sin(2x)=2pi ?

The general solution for -2sin(2x)=2pi is No Solution for x\in\mathbb{R}

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-2sin(2x)=2pi

- 2 sin (2 x) = 2 π

No Solution for x \in R

Solution steps

- 2 sin (2 x) = 2 π

Divide both sides by

- 2

- 2 sin (2 x) = 2 π

Divide both sides by

- 2

\frac{- 2 sin ( 2 x )}{- 2} = \frac{2 π}{- 2}

Simplify

\frac{- 2 sin ( 2 x )}{- 2} = \frac{2 π}{- 2}

Simplify

\frac{- 2 sin ( 2 x )}{- 2} : sin (2 x)

\frac{- 2 sin ( 2 x )}{- 2}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

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

Divide the numbers:

\frac{2}{2} = 1

= sin (2 x)

Simplify

\frac{2 π}{- 2} : - π

\frac{2 π}{- 2}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2 π}{2}

Divide the numbers:

\frac{2}{2} = 1

= - π

sin (2 x) = - π

sin (2 x) = - π

sin (2 x) = - π

- 1 \leq sin (x) \leq 1

No Solution for x \in R

arccos (θ) = \frac{17}{18}

cos (θ) = - \frac{2}{9}

y = sin (x), x

5 sin (y) cos (y) = 2

sin^{2} (x) = 36

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