Trigonometry Examples

$- \frac{35 π}{6} + 3 π$

Step 1

To write $3 π$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$- \frac{35 π}{6} + 3 π \cdot \frac{6}{6}$

Step 2

Combine fractions.

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Step 2.1

Combine $3 π$ and $\frac{6}{6}$ .

$- \frac{35 π}{6} + \frac{3 π \cdot 6}{6}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{- 35 π + 3 π \cdot 6}{6}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $6$ by $3$ .

$\frac{- 35 π + 18 π}{6}$

Step 3.2

Add $- 35 π$ and $18 π$ .

$\frac{- 17 π}{6}$

Step 4

Move the negative in front of the fraction.

$- \frac{17 π}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{17 π}{6}$

Decimal Form:

$- 8.90117918 \dots$