Trigonometry Examples

tan (\frac{11 π}{4})

$\tan (\frac{11 π}{4})$

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 (\frac{3 π}{4})

$\tan (\frac{3 π}{4})$

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 (\frac{π}{4})

$- \tan (\frac{π}{4})$

Step 3

The exact value of

tan (\frac{π}{4})

$\tan (\frac{π}{4})$ is

1

$1$ .

- 1 \cdot 1

$- 1 \cdot 1$

Step 4

Multiply

- 1

$- 1$ by

1

$1$ .

- 1

$- 1$