Algebra Examples

$\tan (\frac{- 5 π}{4})$

Step 1

Move the negative in front of the fraction.

$\tan (- \frac{5 π}{4})$

Step 2

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

$\tan (\frac{3 π}{4})$

Step 3

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.

$- \tan (\frac{π}{4})$

Step 4

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

$- 1 \cdot 1$

Step 5

Multiply $- 1$ by $1$ .

$- 1$