What is the general solution for (cos(x))/2 =-1 ?

The general solution for (cos(x))/2 =-1 is No Solution for x\in\mathbb{R}

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(cos(x))/2 =-1

\frac{cos ( x )}{2} = - 1

No Solution for x \in R

Solution steps

\frac{cos ( x )}{2} = - 1

Multiply both sides by

2

\frac{cos ( x )}{2} = - 1

Multiply both sides by

2

\frac{2 cos ( x )}{2} = 2 (- 1)

Simplify

cos (x) = - 2

cos (x) = - 2

- 1 \leq cos (x) \leq 1

No Solution for x \in R

sin (θ) - 0.2 cos (θ) = 0.565

4 sin (θ) + 23 = 0

400 + 290 cos (x) + 290 sin (x) = 0

2 = 2 sin (2 θ)

4 sin^{2} (x) + 4 cos (x) - 5 = 0, (0, 2 π)

What is the general solution for (cos(x))/2 =-1 ?
The general solution for (cos(x))/2 =-1 is No Solution for x\in\mathbb{R}