$\"\"$

The base of a right triangle is $\"10\"$ mts.

The radius of a circle is $\"10\"$ mts.

(a)

The area of triangle $\"=\\frac{1}{2}bh\"$ .

The area of sector $\"=\\frac{1}{2}r^{2}\\theta\"$ .

The area of shaded region = area of triangle - area of sector.

The area of shaded region $\"f(\\theta$ .

In the triangle,

$\"\\tan$

$\"h=10\\tan$ .

Substitute the values in the function.

$\"\\\\f(\\theta$

Domain of $\"\\\\f(\\theta$ is $\"\\left$ .

$\"\"$

(b)Graph the function $\"\\\\f(\\theta$ .

$\"\"$

Observe the graph:

Complete the table.

$\"\\theta\"$	$\"0.3\"$	$\"0.6\"$	$\"0.9\"$	$\"1.2\"$	$\"1.5\"$
$\"f(\\theta$	$\"0.4668\"$	$\"4.2068\"$	$\"18.0079\"$	$\"68.6075\"$	$\"630.0709\"$

$\"\"$

$\"\\lim_{\\theta$

As $\"x\"$ tends to $\"\\frac{\\pi}{2}\"$ from left hand side, the function approaches to $\"\\infty\"$ .

$\"\\lim_{\\theta$ .

$\"\"$

(a) Domain of $\"\\\\f(\\theta$ , Domain: $\"\\left$ .

(b)

$\"\\theta\"$	$\"0.3\"$	$\"0.6\"$	$\"0.9\"$	$\"1.2\"$	$\"1.5\"$
$\"f(\\theta$	$\"0.4668\"$	$\"4.2068\"$	$\"18.0079\"$	$\"68.6075\"$	$\"630.0709\"$