Category: 4. Advance Trigonometry

Values of trigonometric functions for the standard angles such as 0°, 30°, 45°, 60°, and 90° could be easily found using a trigonometric ratios table.  The table consists of trigonometric ratios – sine, cosine, tangent, cosecant, secant, and cotangent.  In short, these ratios are written as sin, cos, tan, cosec, sec, and cot. It is…

Trigonometric ratios can be used to find heights and distances. Some useful relations are illustrated by the below-given diagrams which help us to determine heights and distances. Challenging Question How to Find Height and Distances? To measure the heights and distances of different objects, we use trigonometric ratios.  Use the Tangent rule to calculate the height of…

The most significant definitions that are used when dealing with heights and distances are given as: Line of sight: It is the line drawn from the eye of an observer to the point in the object viewed by the observer. Here, the cat is the observer and the object is the bird. The angle of elevation: The angle…

In this topic, we will be studying some ways in which trigonometry is used in life around you. What is meant by trigonometry? Trigonometry is one of the most ancient subjects studied by scholars all over the world. Trigonometry was invented because its need arose in astronomy. Since then astronomers have used it, for instance, to calculate distances…

Next, let us go through some of the important properties of the tangent function. The basic properties of tan x along with its value at specific angles and the trigonometric identities involving tan x are: Important Notes on Tangent Function:

The tangent function is one of the basic trigonometric functions and is quite a commonly used function in trigonometry. The tangent function can be expressed as the ratio of the sine function and cosine function. In a right-angled triangle, the formula for the tangent function is expressed as the ratio of the perpendicular and base of the…

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Using trigonometry, we can now obtain values of distances and angles which cannot be measured otherwise. The law of cosines finds application while computing the third side of a triangle given two sides and…

The law of sines establishes the relationship between the sides and angles of an oblique triangle(non-right triangle). Law of sines and law of cosines in trigonometry are important rules used for “solving a triangle”. According to the sine rule, the ratios of the side lengths of a triangle to the sine of their respective opposite…