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Geometry and Trigonometry

online Geometry is one of the major part in mathematics help in constructing the figures with different angles and finding slope of line etc.The following are sub topics involved in higher grade Geometry.

Geomentry

Advanced Geomentry

Trignomentry

Advanced Trignomentry

Geomentry

By geometry we can constructs different Figures,circle based on the radius we can draw the line and by making the line length as half we can draw the circle.Similarly for polygons (line,Perpendicular bisector,arcs etc are involved),quadrilateral,triangle(Right angle,isosceles,equilateral) can be constructed based on their angles and other data.

Traingle is one of the basic shape in geomentry with 3 edges and vertices.Equilateral triangle all sides have the same length(Regular polygon angle is 60o),Isosceles triangle, two sides are equal in length and scalene triangle, all sides are unequal.They are classified based on internal angle as Oblique(angle less than 90o),interior angle less than 90o is acute angle and one angle is 90o it s called obtuse angle triangle.

Advanced Geomentry

It involves in polygons,transformations circles,etc.Circle is a set of points in a plane that are all same distance from a fixed point, which is called the center and the set of points form the circumference(Its a perimeter of a circle).Common distance of points of a circle from its center is called its radius.Circles are special case of ellipse,it is a closed figure and not polygon.Transformation is a pre image of one object on the plane,each point on the object will form pre image on the plane.Its denoted by P ,Sk where the transformation S that maps (x, y) onto (kx, ky) and k is the magnitude of that transformation.The pre image is similar to the image completely beacuase the same image is seen as Pre image on the plane.

Trignomentry

Trignometry deals with trignometric functions their laws and solving equations.Trigonometrydeals with relationships between the sides and the angles of triangles, and withtrigonometric functions, which describe those relationships and angles in general, and the motion of waves such as sound and light waves.The law of sines (also known as the "sine rule") for an arbitrary triangle,Another law involving sines can be used to calculate the area of a triangle.The law of cosines (known as the cosine formula, or the "cos rule") is an extension of the Pythagorean theorem to arbitrary triangles.

Advanced Trignomentry

Inverse trigonometric functions so-called inverse functions of the trigonometric functions, though they do not meet the official definition for inverse functions as their ranges are subsets of the domains of the original functions.They have the realtion with general trignometric functions.These functions may also be expressed using complex logarithms. This extends in a natural fashion their domain to the complex plane.Inverse trigonometric functions are useful when trying to determine the remaining two angles of a right triangle when the lengths of the sides of the triangle are known.

Topics in Geometry and Trigonometry