Calculus Examples

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

Step 1

Rewrite the equation as $- 2 \sec (x) + 1 = 0$ .

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

Step 2

Subtract $1$ from both sides of the equation.

$- 2 \sec (x) = - 1$

Step 3

Divide each term in $- 2 \sec (x) = - 1$ by $- 2$ and simplify.

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Step 3.1

Divide each term in $- 2 \sec (x) = - 1$ by $- 2$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 2$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $\sec (x)$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Dividing two negative values results in a positive value.

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

Step 4

The range of secant is $y \leq - 1$ and $y \geq 1$ . Since $\frac{1}{2}$ does not fall in this range, there is no solution.

No solution