Trigonometry Examples

$y (\frac{1}{4}) = \frac{1}{4} \cos (\frac{6}{4})$

Step 1

Combine $y$ and $\frac{1}{4}$ .

$\frac{y}{4} = \frac{1}{4} \cdot \cos (\frac{6}{4})$

Step 2

Simplify $\frac{1}{4} \cdot \cos (\frac{6}{4})$ .

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Step 2.1

Cancel the common factor of $6$ and $4$ .

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Step 2.1.1

Factor $2$ out of $6$ .

$\frac{y}{4} = \frac{1}{4} \cdot \cos (\frac{2 (3)}{4})$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $2$ out of $4$ .

$\frac{y}{4} = \frac{1}{4} \cdot \cos (\frac{2 \cdot 3}{2 \cdot 2})$

Step 2.1.2.2

Cancel the common factor.

$\frac{y}{4} = \frac{1}{4} \cdot \cos (\frac{2 \cdot 3}{2 \cdot 2})$

Step 2.1.2.3

Rewrite the expression.

$\frac{y}{4} = \frac{1}{4} \cdot \cos (\frac{3}{2})$

Step 2.2

Evaluate $\cos (\frac{3}{2})$ .

$\frac{y}{4} = \frac{1}{4} \cdot 0.0707372$

Step 2.3

Combine $\frac{1}{4}$ and $0.0707372$ .

$\frac{y}{4} = \frac{0.0707372}{4}$

Step 2.4

Divide $0.0707372$ by $4$ .

$\frac{y}{4} = 0.0176843$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{y}{4} = 4 \cdot 0.0176843$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $4$ .

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Step 4.1.1.1

Cancel the common factor.

$4 \frac{y}{4} = 4 \cdot 0.0176843$

Step 4.1.1.2

Rewrite the expression.

$y = 4 \cdot 0.0176843$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $4$ by $0.0176843$ .

$y = 0.0707372$