Trigonometry Examples

$\sqrt{12.5 - 12.5 \cos (x)}$

Step 1

Factor $12.5$ out of $12.5 - 12.5 \cos (x)$ .

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Step 1.1

Factor $12.5$ out of $12.5$ .

$\sqrt{12.5 (1) - 12.5 \cos (x)}$

Step 1.2

Factor $12.5$ out of $- 12.5 \cos (x)$ .

$\sqrt{12.5 (1) + 12.5 (- \cos (x))}$

Step 1.3

Factor $12.5$ out of $12.5 (1) + 12.5 (- \cos (x))$ .

$\sqrt{12.5 (1 - \cos (x))}$

Step 2

Rewrite $12.5 (1 - \cos (x))$ as ${({1.88030154}^{2})}^{2} (1 - \cos (x))$ .

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Step 2.1

Rewrite $12.5$ as ${3.5355339}^{2}$ .

$\sqrt{{3.5355339}^{2} (1 - \cos (x))}$

Step 2.2

Rewrite $3.5355339$ as ${1.88030154}^{2}$ .

$\sqrt{{({1.88030154}^{2})}^{2} (1 - \cos (x))}$

Step 3

Pull terms out from under the radical.

${1.88030154}^{2} \sqrt{1 - \cos (x)}$

Step 4

Raise $1.88030154$ to the power of $2$ .

$3.5355339 \sqrt{1 - \cos (x)}$