Trigonometry Trigonometry The adjective of the word trigonometry is trigonometric and the first part of the word “trigon” is meant for the triangle and the second part “metron” is meant for the measure. So if we answer the question: what is trigonometry, and then it is measuring of angles and sides of triangles. Or the answer of the question: What is Trigonometry can be that it defines the relation between the elements of any triangle. There are many ways in which trigonometry can be defined, like in a way ancient people had defined, modern way, etc. So, in a modern way, the answer to the question: what is trigonometry, is, it is a methodology by which we can find out unknown elements of any triangle or it can be other geometric shapes also but information of angles and linear measurements should be provided to define it. Now to get a deep knowledge about the question: what is trigonometry, we will begin with its elements, a triangle has six basic elements: 3 sides and 3 angles.
Know More About :- Types Of Angles Math.Tutorvista.com
Page No. :- 1/4
But here, when we are dealing with the question: what is trigonometry, it should be noted that, not any three line segments could be the sides of a triangle and not any three angles are the angles of a triangle. But for this they have to satisfy three triangle inequalities first. For more in the question: what is trigonometry, if we see in Euclidean geometry, the sum of the three angles of a triangle is 1800 and they add up to a straight line. Geometry has many identities like it says that if the sides of a triangle are a, b and c and they lie opposite to angles α, β and γ, then a + b > c and α + β + γ = 1800. In the question: what is trigonometry, we have a very common and important theorem which holds for right triangles only or when γ is 900 : a2 + b2 = c2. In the question: what is trigonometry, we have different laws like Law of Sines, which is used to determine angles and Law of cosines, which is used to determine the sides of the triangle. They can be used to calculate area of the triangle, circumradius and inradius etc. Now, in the question: what is trigonometry; we are going discuss some identities and formulae. As we are discussing the question: what is trigonometry, so the most basic theorem is the Pythagorean Theorem and with sines and cosines, it says: Sin2 α + Cos2 α = 1. There are also some other identities to discuss in the question: what is trigonometry, sin 2α = 2 sin α cos α cos 2α = cos2 α – sin2 α
Learn More :- Types Of Functions
Math.Tutorvista.com
Page No. :- 2/4
tan 2α = 2 tan α / (1 – tan2 α) cot 2 α = (cot2 α – 1) / 2cot α More about the question: what is trigonometry, some general formulae, Sin (α + β) = sin α cos β + cos α sin β Cos (α + β) = cos α cos β - sin α sin β Sin (α - β) = sin α cos β - cos α sin β Cos (α - β) = cos α cos β + sin α sin β
Math.Tutorvista.com
Page No. :- 4/4
Thank You For Watching
Presentation