Trigonometry Examples

$\frac{\tan (7 π)}{4}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{\tan (π)}{4}$

Step 1.2

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.

$\frac{- \tan (0)}{4}$

Step 1.3

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

$\frac{- 0}{4}$

Step 1.4

Multiply $- 1$ by $0$ .

$\frac{0}{4}$

Step 2

Divide $0$ by $4$ .

$0$