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

cos (x) = 3

cos (x) = 3

- 1 \leq cos (x) \leq 1

No Solution for x \in R

2 sin (x) cos (2 x) - cos (2 x) = 0

- 2 = cos (x)

2 cot (2 x) + 2 = 0

sin (x - π) = \frac{- 2}{2}

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

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}