Precalculus Examples

$\cos (\frac{π}{2} - x) = \frac{20}{29}$ , $\cos (x) = \frac{21}{29}$

Step 1

To find the value of $\sec (x)$ , use the fact that $\frac{1}{\cos (x)}$ then substitute in the known values.

$\sec (x) = \frac{1}{\cos (x)} = \frac{1}{\frac{21}{29}}$

Step 2

Simplify the result.

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

$\sec (x) = \frac{1}{\cos (x)} = 1 (\frac{29}{21})$

Step 2.2

Multiply $\frac{29}{21}$ by $1$ .

$\sec (x) = \frac{1}{\cos (x)} = \frac{29}{21}$