Precalculus Examples

$x = \tan (\frac{45}{4} \cdot π)$

Step 1

Combine $\frac{45}{4}$ and $π$ .

$x = \tan (\frac{45 π}{4})$

Step 2

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

$x = \tan (\frac{5 π}{4})$

Step 3

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$x = \tan (\frac{π}{4})$

Step 4

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

$x = 1$