Category: Trigonometry

Its applications are in various fields like oceanography, seismology, meteorology, physical sciences, astronomy, acoustics, navigation, electronics, etc. It is also helpful to measure the height of the mountain, find the distance of long rivers, etc.

There are many real-life examples where trigonometry is used broadly. If we have been given with height of the building and the angle formed when an object is seen from the top of the building, then the distance between object and bottom of the building can be determined by using the tangent function, such as… Continue reading Trigonometry Examples

The three basic functions in trigonometry are sine, cosine and tangent. Based on these three functions the other three functions that are cotangent, secant and cosecant are derived.  All the trigonometrical concepts are based on these functions. Hence, to understand trigonometry further we need to learn these functions and their respective formulas at first. If… Continue reading Trigonometry Basics

The three important trigonometric identities are: sin²θ + cos²θ = 1 tan²θ + 1 = sec²θ cot²θ + 1 = cosec²θ

The Trigonometric formulas or Identities are the equations which are true in the case of Right-Angled Triangles. Some of the special trigonometric identities are given below – Pythagorean Identities sin²θ + cos²θ = 1 tan2θ + 1 = sec2θ cot2θ + 1 = cosec2θ sin 2θ = 2 sin θ cos θ cos 2θ = cos²θ –… Continue reading List of Trigonometry Formulas

The concept of unit circle helps us to measure the angles of cos, sin and tan directly since the centre of the circle is located at the origin and radius is 1. Consider theta be an angle then, Suppose the length of the perpendicular is y and of base is x. The length of the… Continue reading Unit Circle

Check the table for common angles which are used to solve many trigonometric problems involving trigonometric ratios. Angles 0° 30° 45° 60° 90° Sin θ 0 ½ 1/√2 √3/2 1 Cos θ 1 √3/2 1/√2 ½ 0 Tan θ 0 1/√3 1 √3 ∞ Cosec θ ∞ 2 √2 2/√3 1 Sec θ 1 2/√3 √2 2 ∞ Cot θ… Continue reading Trigonometry Table

The trigonometry angles which are commonly used in trigonometry problems are  0°, 30°, 45°, 60° and 90°. The trigonometric ratios such as sine, cosine and tangent of these angles are easy to memorize. We will also show the table where all the ratios and their respective angle’s values are mentioned. To find these angles we have to… Continue reading Trigonometry Angles

The trigonometric function can be described as being even or odd. Odd trigonometric functions: A trigonometric function is said to be an odd function if f(-x) = -f(x) and symmetric with respect to the origin. Even trigonometric functions: A trigonometric function is said to be an even function, if f(-x) = f(x) and symmetric to the y-axis.… Continue reading Even and Odd Trigonometric Functions

The six important trigonometric functions (trigonometric ratios) are calculated using the below formulas and considering the above figure. It is necessary to get knowledge about the sides of the right triangle because it defines the set of important trigonometric functions. Functions Abbreviation Relationship to sides of a right triangle Sine Function sin Opposite side/ Hypotenuse… Continue reading Six Important Trigonometric Functions