Find the Exact Value sec((4pi)/3)

$\sec (\frac{4 π}{3})$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the third quadrant.

$- \sec (\frac{π}{3})$

The exact value of $\sec (\frac{π}{3})$ is $2$ .

$- 1 \cdot 2$

Multiply $- 1$ by $2$ .

$- 2$

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