What is the general solution for 2sec(x)+1=0 ?

The general solution for 2sec(x)+1=0 is No Solution for x\in\mathbb{R}

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2sec(x)+1=0

2 sec (x) + 1 = 0

No Solution for x \in R

Solution steps

2 sec (x) + 1 = 0

Move

1

to the right side

2 sec (x) + 1 = 0

Subtract

1

from both sides

2 sec (x) + 1 - 1 = 0 - 1

Simplify

2 sec (x) = - 1

2 sec (x) = - 1

Divide both sides by

2

2 sec (x) = - 1

Divide both sides by

2

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

Simplify

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

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

sec (x) \leq - 1 or sec (x) \geq 1

No Solution for x \in R

cot (x) = - 3

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What is the general solution for 2sec(x)+1=0 ?
The general solution for 2sec(x)+1=0 is No Solution for x\in\mathbb{R}