What is the general solution for 4sec^2(x)-2=0 ?

The general solution for 4sec^2(x)-2=0 is No Solution for x\in\mathbb{R}

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4sec^2(x)-2=0

4 sec^{2} (x) - 2 = 0

No Solution for x \in R

Solution steps

4 sec^{2} (x) - 2 = 0

Solve by substitution

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

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

No Solution

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

No Solution

Combine all the solutions

No Solution for x \in R

cos (x) = \frac{1}{3}

sin (x) cos (x) = \frac{3}{4}, 0 \leq x \leq 2 π

2 cos^{2} (x) + sin (x) - 1 = 0, 0 \leq x < 2 π

cot (x) = - 1, 0 \leq x \leq 2 π

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

What is the general solution for 4sec^2(x)-2=0 ?
The general solution for 4sec^2(x)-2=0 is No Solution for x\in\mathbb{R}