Trigonometry Examples

\cos (θ) = \frac{12}{13}

$\cos (θ) = \frac{12}{13}$

Step 1

To find the value of

\sec (θ)

$\sec (θ)$ , use the fact that

\frac{1}{\cos (θ)}

$\frac{1}{\cos (θ)}$ then substitute in the known values.

\sec (θ) = \frac{1}{\cos (θ)} = \frac{1}{\frac{12}{13}}

$\sec (θ) = \frac{1}{\cos (θ)} = \frac{1}{\frac{12}{13}}$

Step 2

Simplify the result.

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

\sec (θ) = \frac{1}{\cos (θ)} = 1 (\frac{13}{12})

$\sec (θ) = \frac{1}{\cos (θ)} = 1 (\frac{13}{12})$

Step 2.2

Multiply

\frac{13}{12}

$\frac{13}{12}$ by

1

$1$ .

\sec (θ) = \frac{1}{\cos (θ)} = \frac{13}{12}

$\sec (θ) = \frac{1}{\cos (θ)} = \frac{13}{12}$

\sec (θ) = \frac{1}{\cos (θ)} = \frac{13}{12}

$\sec (θ) = \frac{1}{\cos (θ)} = \frac{13}{12}$