Group 10

Geometry

Trigonometric functions are used to find the length of a line segment or the angle of a triangle. These include sine (opposite/hypoteneuse), cosine (adjacent/hypoteneuse) and tangent (opposite/adjacent). Each of these functions also has an inverse function: cosecant or sin^-1 (hypoteneuse/opposite), secant or cos^-1 (hypoteneuse/adjacent) and cotangent or tan^-1(adjacent/opposite). The graphs of each of these trigonometric functions all are different, and operate on the equation: a cos b(x-c)+d, where a is the amplitude, b is the period, c is the horizontal displacement and d is the vertical displacement. Similar equations are used for sine and tangent graphs: a sin b(x-c)+d and a tan b(x-c) + d.

In addition to uses of Geometry in Trigonometry, Geometry allows us to look at 2 dimensional shapes more concretely. Geometry is used to calculate the area and volume of shapes such as triangles (1/2bh) and circles (Пrr (pie x radius squared). Geometrical triangles include equalaterals, isoscoles, and scalene triangles. Each of these triangles are made of 3 line segments and 3 vertexes (where two lines meet). Triangles also allow us to use Pythagorean theorem in calculating it's slope. Finally, Geometry allows us to calculate right, obtuse or acute angles of any given two meeting line segments.