Trigonometry Examples

$\sqrt{1 - \frac{157.5}{2}}$

Step 1

Simplify the expression.

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Step 1.1

Divide $157.5$ by $2$ .

$\sqrt{1 - 1 \cdot 78.75}$

Step 1.2

Multiply $- 1$ by $78.75$ .

$\sqrt{1 - 78.75}$

Step 1.3

Subtract $78.75$ from $1$ .

$\sqrt{- 77.75}$

Step 2

Rewrite $- 77.75$ as $- 1 (77.75)$ .

$\sqrt{- 1 (77.75)}$

Step 3

Rewrite $\sqrt{- 1 (77.75)}$ as $\sqrt{- 1} \cdot \sqrt{77.75}$ .

$\sqrt{- 1} \cdot \sqrt{77.75}$

Step 4

Rewrite $\sqrt{- 1}$ as $i$ .

$i \sqrt{77.75}$