Precalculus Examples

$(\frac{0.0101}{\sin (x)}) \cos (x) = 5.2316$

Step 1

Simplify $(\frac{0.0101}{\sin (x)}) \cos (x)$ .

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Step 1.1

Separate fractions.

$\frac{0.0101}{1} \cdot \frac{1}{\sin (x)} \cos (x) = 5.2316$

Step 1.2

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

$\frac{0.0101}{1} \csc (x) \cos (x) = 5.2316$

Step 1.3

Divide $0.0101$ by $1$ .

$0.0101 \csc (x) \cos (x) = 5.2316$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 0.00193057, 37.70104241$

Step 3