Evaluate tan((-5pi)/4)

$\tan (\frac{- 5 π}{4})$

Move the negative in front of the fraction.

$\tan (- \frac{(5) π}{4})$

Add full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\tan (\frac{3 π}{4})$

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

$- \tan (\frac{π}{4})$

The exact value of $\tan (\frac{π}{4})$ is $1$ .

$- 1 \cdot 1$

Multiply $- 1$ by $1$ .

$- 1$

Evaluate tan((-5pi)/4)

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