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What is trigonometry and its functions?

  • Trigonometry is one of the math sections used to study lengths and three angles of all the triangles.
  • A triangle involves six components: 3 sides and 3 angles.
  • Trigonometry is used to calculate the value of the angles between 0 degrees to 90 degrees.
  • The trigonometry functions are periodic as well as continuous at 360 degrees.
  • Trigonometric includes the cotangent and tangent functionality that falls at 180 degrees.
  • Trigonometric pre-algebra, lengths, angles, and equations inequalities problems can solve with the help of trigonometry functions.

If three different sides x, y, z of a triangle have three different angles α, β, γ; x + y > z is the inequality and angles α + β + γ = 180°, which is the addition of all the three angles. If γ is a right-angled triangle (i.e., γ = 90°), then the value of the triangle can be calculated using the Pythagoras Theorem (i.e., x² + y² = z²). There are certain trigonometric relationships that involve trigonometric functions as:

  • Cosec x = hypotenuse / perpendicular
  • Sin x = perpendicular / hypotenuse
  • Sec x = hypotenuse / base
  • Cos x = base / hypotenuse
  • Cot x = base / perpendicular
  • Tan x = perpendicular / base

Example of trigonometry homework

Question: A person is observing a tree of 55-foot height. As per his calculation, the pole has a shadow of 23 feet in length. Calculate the angle of the sun's elevation from the shadow's tip?

Solution: Let 'a' as the angle of sun's elevation, then

tan a = 55/23 = 2.391

take tan on the other side i.e., a = tan-1(2.391)

or a = 67.30 degrees

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Types of Trigonometry?

Trigonometry is mainly divided into two parts which work on different entities or available data regarding different planes or surfaces. These two types of Trigonometry are mentioned below:

Plane Trigonometry

Plane Trigonometry is defined as the set of methods and abbreviations used to calculate different angles and side lengths of a two-dimensional plane. It is based on two side coefficients (x, y).

Spherical Trigonometry

Spherical Trigonometry is much different from the previous one because its abbreviations are used to calculate the various related aspects of a 3D plane also known as three-dimensional Plane Trigonometry. In spherical Trigonometry there mainly three coefficients are used which are (x, y, z).

Abbreviation and definition chart of Trigonometric function.

Trigonometry and Trigonometric functions are used by many data experts in different fields in order to observe wave formed data such as astronomy to determine the huge distances, sides, surface areas and etc, in radiations and wave engineering, in data sciences, in electronics and electromechanics, architecture, seismology, phonetics, etc.

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List of Topics Covered In Our Trigonometry Homework Help

  • Inverse Functions- Arccosine, Arcsine, And Arctangent
  • Trigonometric Equations
  • Hypotenuse, Adjacent Side, Opposite Side
  • Mnemonics
  • Analytic Trigonometry
  • Graphs of Other Trigonometric Functions
  • Angles & Radian Measure
  • Exponential & logarithmic functions
  • Complex Numbers in Polar Form
  • DeMoivre’s Theorem
  • Angle Difference Formula
  • Vectors
  • Trigonometric Functions
  • Conic Sections
  • Calculating Trigonometric Functions
  • Pythagorean Identities
  • Angle Transformation Formulae
  • Radian Measure
  • Amplitude & Period of Sin & Cos
  • Polar coordinates system
  • Euler's Formula

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