Trigonometry Examples

$\arctan (\tan (5 π))$

Step 1

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

$\arctan (\tan (π))$

Step 2

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.

$\arctan (- \tan (0))$

Step 3

The exact value of $\tan (0)$ is $0$ .

$\arctan (- 0)$

Step 4

Multiply $- 1$ by $0$ .

$\arctan (0)$

Step 5

The exact value of $\arctan (0)$ is $0$ .

$0$