What is the general solution for (cos(x))/2 =(-sqrt(3))/2 ?

The general solution for (cos(x))/2 =(-sqrt(3))/2 is No Solution for x\in\mathbb{R}

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(cos(x))/2 =(-sqrt(3))/2

\frac{cos ( x )}{2} = \frac{- 3}{2}

No Solution for x \in R

Solution steps

\frac{cos ( x )}{2} = \frac{- 3}{2}

Multiply both sides by

2

\frac{cos ( x )}{2} = \frac{- 3}{2}

Multiply both sides by

2

\frac{2 cos ( x )}{2} = \frac{2 ( - 3 )}{2}

Simplify

\frac{2 cos ( x )}{2} = \frac{2 ( - 3 )}{2}

Simplify

\frac{2 cos ( x )}{2} : cos (x)

\frac{2 cos ( x )}{2}

Divide the numbers:

\frac{2}{2} = 1

= cos (x)

Simplify

\frac{2 ( - 3 )}{2} : - 3

\frac{2 ( - 3 )}{2}

Remove parentheses:

(- a) = - a

= \frac{- 2 3}{2}

Apply the fraction rule:

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

= - \frac{2 3}{2}

Divide the numbers:

\frac{2}{2} = 1

= - 3

cos (x) = - 3

cos (x) = - 3

cos (x) = - 3

- 1 \leq cos (x) \leq 1

No Solution for x \in R

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What is the general solution for (cos(x))/2 =(-sqrt(3))/2 ?
The general solution for (cos(x))/2 =(-sqrt(3))/2 is No Solution for x\in\mathbb{R}