Find the Exact Value sec(-840 degrees )

Add full rotations of ${\displaystyle 360}$° until the angle is between ${\displaystyle 0}$° and ${\displaystyle 360}$°.

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.

The exact value of ${\displaystyle \sec \left(60\right)}$ is ${\displaystyle 2}$.