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Finite Math Examples Polynomials and Expressions

Evaluate Using the Given Value

$\cos (\frac{x}{2})$ , $x = 2 π$

Step 1

Replace the variable $x$ with $2 π$ in the expression.

$\cos (\frac{2 π}{2})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$\cos (\frac{2 π}{2})$

Step 2.2

Divide $π$ by $1$ .

$\cos (π)$

Step 3

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.

$- \cos (0)$

Step 4

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

$- 1 \cdot 1$

Step 5

Multiply $- 1$ by $1$ .

$- 1$

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Polynomials and Expressions

More step-by-step Finite Math examples from this chapter.

Simplifying Synthetic Division Polynomial Division Finding the Remainder Using Long Polynomial Division Reducing Cancelling the Common Factors Identifying Degree Multiplying Polynomials Using FOIL Negative Exponents Operations on Polynomials Simplifying Expressions Factoring Using Any Method

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$