Trigonometry Examples

$6 \tan (45) - 8 \cos (60)$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\tan (45)$ is $1$ .

$6 \cdot 1 - 8 \cos (60)$

Step 1.2

Multiply $6$ by $1$ .

$6 - 8 \cos (60)$

Step 1.3

The exact value of $\cos (60)$ is $\frac{1}{2}$ .

$6 - 8 (\frac{1}{2})$

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Factor $2$ out of $- 8$ .

$6 + 2 (- 4) \frac{1}{2}$

Step 1.4.2

Cancel the common factor.

$6 + 2 \cdot - 4 \frac{1}{2}$

Step 1.4.3

Rewrite the expression.

$6 - 4$

$6 - 4$

$6 - 4$

Step 2

Subtract $4$ from $6$ .

$2$

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