Trigonometry Examples

$\sec (θ) = \frac{3}{2}$

Step 1

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

$\cos (θ) = \frac{1}{\sec (θ)} = \frac{1}{\frac{3}{2}}$

Step 2

Simplify the result.

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

$\cos (θ) = \frac{1}{\sec (θ)} = 1 (\frac{2}{3})$

Step 2.2

Multiply $\frac{2}{3}$ by $1$ .

$\cos (θ) = \frac{1}{\sec (θ)} = \frac{2}{3}$