Trigonometry Examples

$\sec (\frac{4}{3} \cdot π)$

Step 1

Combine $\frac{4}{3}$ and $π$ .

$\sec (\frac{4 π}{3})$

Step 2

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.

$- \sec (\frac{π}{3})$

Step 3

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

$- 1 \cdot 2$

Step 4

Multiply $- 1$ by $2$ .

$- 2$