Trigonometry Examples

$2 (\frac{3}{4}) (- \frac{\sqrt{9}}{16})$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $9$ as $3^{2}$ .

$2 (\frac{3}{4}) \cdot (- \frac{\sqrt{3^{2}}}{16})$

Step 1.2

Pull terms out from under the radical, assuming positive real numbers.

$2 (\frac{3}{4}) \cdot (- \frac{3}{16})$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Move the leading negative in $- \frac{3}{16}$ into the numerator.

$2 (\frac{3}{4}) \cdot \frac{- 3}{16}$

Step 2.1.2

Factor $2$ out of $16$ .

$2 (\frac{3}{4}) \cdot \frac{- 3}{2 (8)}$

Step 2.1.3

Cancel the common factor.

$2 (\frac{3}{4}) \cdot \frac{- 3}{2 \cdot 8}$

Step 2.1.4

Rewrite the expression.

$\frac{3}{4} \cdot \frac{- 3}{8}$

Step 2.2

Multiply $\frac{3}{4}$ by $\frac{- 3}{8}$ .

$\frac{3 \cdot - 3}{4 \cdot 8}$

Step 2.3

Simplify the expression.

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Step 2.3.1

Multiply $3$ by $- 3$ .

$\frac{- 9}{4 \cdot 8}$

Step 2.3.2

Multiply $4$ by $8$ .

$\frac{- 9}{32}$

Step 2.3.3

Move the negative in front of the fraction.

$- \frac{9}{32}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{32}$

Decimal Form:

$- 0.28125$