//Index Terms  --   to be used in searches
//     INDEX_ANGLE
//
//
//SAMPLES  
//var def_real_component =
//'The <b class = "bold_blue">real component</b> of the complex number<br>a + bi is a.'; 
//
// var formula_rectangular_solid_volume =
//'The volume of a rectangular solid of length a, width b, and height c is given by V = abc.';

//INDEX_ANGLE

var def_angle =
 'An <b class = "bold_blue">angle</b> is the figure formed by two rays sharing a common endpoint. ';
 
var def_angle_alternate1 = 
 'Given two intersecting lines or line segments, the amount of rotation about the point of intersection '
 +'(the vertex) required to bring one (called the initial side) into correspondence with the other '
 +'(called the terminal side) is called the angle between them. '
 +'If that rotation is in the counterclockwise direction, the angle is said to be a positive angle and '
 +'if the rotation is in the clockwise direction, the angle is said to be a negative angle.'
 +'Angles are usually measured in degrees (denoted ), radians (denoted rad, or without a unit), '
 +'or sometimes gradians (denoted grad).'; 
 
var def_angle_alternate2 = 
 'An <b class = "bold_blue">angle</b> is formed by rotating (in a plane) a ray m, called the '
 +'<b class = "bold_blue">initial side</b> of the angle, around its endpoint, until it coincides with a ray n, '
 +'called the <b class = "bold_blue">terminal side</b> of the angle.';

var def_angle_vertex =
 'The <b class = "bold_blue">vertex</b> of an angle is the common endpoint shared by the two rays of the angle.';

var def_angle_standard_position =
 'An angle is said to be in <b class = "bold_blue">standard position</b> if the vertex is at the origin and the '
 +'initial side is coincident with the x-axis.';
 
var def_angle_measure_degree = 
 'A positive angle formed by one complete rotation has a measure of 360 degrees.';

var def_angle_measure_radian = 
 'A positive angle formed by one complete rotation has a measure of 2&#960;  radians.';
 
var def_trig_function_sin = 
 'The circular function <b class = "bold_blue">sin</b> is a function whose domain is the set of real numbers, whose range is the '
 +'interval [-1, 1], and whose rule is the following. If W is the wrapping function and if P is a point on the '
 +'unit circle with coordinates (a, b) and W(x) = P, then sin(x) = b.';
 
var def_trig_function_cos = 
 'The circular function <b class = "bold_blue">cos</b> is a function whose domain is the set of real numbers, whose range is the '
 +'interval [-1, 1], and whose rule is the following.  If W is the wrapping function and if P is a point on the '
 +'unit circle with coordinates (a, b) and W(x) = P, then cos(x) = a.'; 

var def_trig_function_tan = 
 'The circular function <b class = "bold_blue">tan</b> is a function whose domain is all real numbers except odd multiples of &pi;/2, '
 +'whose range is the set of real numbers, and whose rule is tan(x) = sin(x)/cos(x).'; 
 
var def_trig_function_cot = 
 'The circular function <b class = "bold_blue">cot</b> is a function whose domain is all real numbers except multiples of &pi;, '
 +'whose range is the set of real numbers, and whose rule is cot(x) = cos(x)/sin(x).';  
 
var def_trig_function_csc = 
 'The circular function <b class = "bold_blue">csc</b> is a function whose domain is all real numbers except multiples of &pi;, '
 +'whose range is the set of real numbers, and whose rule is csc(x) = 1/sin(x).';  
 
 var def_trig_function_sec = 
 'The circular function <b class = "bold_blue">sec</b> is a function whose domain is all real numbers except odd multiples of &pi;/2, '
 +'whose range is the set of real numbers, and whose rule is sec(x) = 1/cos(x).';