What is the general solution for 8sec^2(x/2)=4 ?

The general solution for 8sec^2(x/2)=4 is No Solution for x\in\mathbb{R}

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8sec^2(x/2)=4

8 sec^{2} (\frac{x}{2}) = 4

No Solution for x \in R

Solution steps

8 sec^{2} (\frac{x}{2}) = 4

Solve by substitution

sec (\frac{x}{2}) = \frac{1}{2}, sec (\frac{x}{2}) = - \frac{1}{2}

sec (\frac{x}{2}) = \frac{1}{2} :

No Solution

sec (\frac{x}{2}) = - \frac{1}{2} :

No Solution

Combine all the solutions

No Solution for x \in R

6 cos^{2} (x) + cos (x) = 1

4 sin (x) + 3 cos (x) = 0

y, x = 2 sin (y)

2 sin (2 x) + 2 sin (x) = 1 + 2 cos (x)

3 sin (x) + 2 = 0

What is the general solution for 8sec^2(x/2)=4 ?
The general solution for 8sec^2(x/2)=4 is No Solution for x\in\mathbb{R}