Trigonometry Examples

\tan (5 π)

$\tan (5 π)$

Step 1

Subtract full rotations of

2 π

$2 π$ until the angle is greater than or equal to

0

$0$ and less than

2 π

$2 π$ .

\tan (π)

$\tan (π)$

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.

- \tan (0)

$- \tan (0)$

Step 3

The exact value of

\tan (0)

$\tan (0)$ is

0

$0$ .

- 0

$- 0$

Step 4

Multiply

- 1

$- 1$ by

0

$0$ .

0

$0$

\tan 5 π

$\tan 5 π$

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≤

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