Trigonometry Examples

$\sec (\frac{5 π}{3})$

Step 1

Find the value using the definition of secant.

$\sec (\frac{5 π}{3}) = \frac{hypotenuse}{adjacent}$

Step 2

Substitute the values into the definition.

$\sec (\frac{5 π}{3}) = \frac{1}{\frac{1}{2}}$

Step 3

Simplify the result.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$1 \cdot 2$

Step 3.2

Multiply $2$ by $1$ .

$2$

Step 4