Trigonometry Examples

$\sec (θ) = - \frac{13}{12}$

Step 1

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

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

Step 2

Simplify the result.

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Step 2.1

Cancel the common factor of $1$ and $- 1$ .

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Step 2.1.1

Rewrite $1$ as $- 1 (- 1)$ .

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

Step 2.1.2

Move the negative in front of the fraction.

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

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

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

Step 2.3

Multiply $\frac{12}{13}$ by $1$ .

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