Calculus Examples

$\frac{π}{9} \cdot (\cos (π) (0.02))$

Step 1

Simplify terms.

Tap for more steps...

Step 1.1

Cancel the common factor of $0.02$ .

Tap for more steps...

Step 1.1.1

Factor $0.02$ out of $9$ .

$\frac{π}{0.02 (450)} \cdot (\cos (π) (0.02))$

Step 1.1.2

Factor $0.02$ out of $\cos (π) (0.02)$ .

$\frac{π}{0.02 (450)} \cdot (0.02 \cos (π))$

Step 1.1.3

Cancel the common factor.

$\frac{π}{0.02 \cdot 450} \cdot (0.02 \cos (π))$

Step 1.1.4

Rewrite the expression.

$\frac{π}{450} \cdot \cos (π)$

Step 1.2

Combine $\frac{π}{450}$ and $\cos (π)$ .

$\frac{π \cos (π)}{450}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.

$\frac{π (- \cos (0))}{450}$

Step 2.2

The exact value of $\cos (0)$ is $1$ .

$\frac{π (- 1 \cdot 1)}{450}$

Step 2.3

Multiply $- 1$ by $1$ .

$\frac{π \cdot - 1}{450}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Move $- 1$ to the left of $π$ .

$\frac{- 1 \cdot π}{450}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{π}{450}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{450}$

Decimal Form:

$- 0.00698131 \dots$