Find the Exact Value tan(arcsin(-( square root of 3)/2))

$\tan (\arcsin (- \frac{\sqrt{3}}{2}))$

Step 1

Move the leading negative in $- \frac{\sqrt{3}}{2}$ into the numerator.

$\frac{- \sqrt{3}}{2} (1 \cdot 2)$

Step 2

Factor $2$ out of $1 \cdot 2$ .

$\frac{- \sqrt{3}}{2} (2 \cdot 1)$

Step 3

Cancel the common factor.

$\frac{- \sqrt{3}}{2} (2 \cdot 1)$

Step 4

Rewrite the expression.

$- \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{3}$

Decimal Form:

$- 1.73205080 \dots$