Trigonometry Examples

$\sqrt{25 - x^{2}}$ , $x = 5 \sin (x)$

Step 1

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 2.59573907, 0, 2.59573907$

Step 2

Replace the variable $x$ with $- 2.59573907$ in the expression.

$\sqrt{25 - {(- 2.59573907)}^{2}}$

Step 3

Raise $- 2.59573907$ to the power of $2$ .

$\sqrt{25 - 1 \cdot 6.73786136}$

Step 4

Multiply $- 1$ by $6.73786136$ .

$\sqrt{25 - 6.73786136}$

Step 5

Subtract $6.73786136$ from $25$ .

$\sqrt{18.26213863}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\sqrt{18.26213863}$

Decimal Form:

$4.27342235 \dots$

Step 7