In the earlier section, you must have learned about Trigonometry. Trigonometry is based on the right-angled triangle. The trigonometry formulas are devoted to finding the angles and sides of the right-angled triangle. Thus, trigonometry formulas are the set of formulas involving the identities of trigonometry which is used in finding the unknown variable of the right-angled triangle.
These trigonometry formulas include the functions like a tangent, sine, cosine, cosecant, secant, for the right-angled triangle’s angles.
We can learn the formulas by identifying the Pythagorean identities like the product identities, the co-function identities that are the shifting of the angles, the sum and the difference of the identities, identifying the double angle identities, the half-angle identities, etc.
- 1 Study the List of Trigonometry Formulas
- 2 What is Meant by Trigonometry Ratios?
- 3 Origin Of The Word ‘Trigonometry’
- 4 What are Pythagorean Trigonometric Identities?
- 5 Did You Know?
Study the List of Trigonometry Formulas
The trigonometry formulae are classified into different other categories. This differentiation is done with the trigonometry identity which is involved here. Now, let us look at the formula sets of the trigonometry formulas. The list of formulae are listed down below:
- The basic trig ration formulas – These are the basic or general formula which is based on the ratios sin, cos, tan, etc.
- Reciprocal Identities – This formula consists of formulas based on trigonometry that deals with the reciprocal relationship between the trig ratios.
- Trigonometry Ration Table – The trigonometry formula represents the standard angles in the trigonometry table.
- Periodic Identities – The periodic identities comprise the trigonometry formulas which help us in finding the values of the trig functions which gives in the shift of the angles.
- Co-function Identities – The trigonometry formula identifies and depicts the interrelationships between the trigonometry functions.
What is Meant by Trigonometry Ratios?
The trigonometric ratios are defined as the length of the sides of the triangles. The ratios in trigonometry relate to the ratio between the sides of the triangle with respect to the angles. The basic trigonometric ratios are as follows – sin, cos, tan or sine, cosine, and tangent ratios. Also, these are the important trig ratios – the cosec, sec, and the cot which can be derived using the ratios of sin, cos, and tan did in a respective manner.
Origin Of The Word ‘Trigonometry’
The word which is “trigonometry” arises from the word “Trigonon” which means the “triangle” and “metro” means “measure”. This is defined as the branch of mathematics that highlights the ratio of the angles and the sides of the triangle.
What is the Reciprocal Relationship of Trigonometric Identities?
The reciprocal trigonometric identities are given as follows:
Sin θ = 1/Csc θ or Csc θ = 1/Sin θ
Cos θ = 1/Sec θ or Sec θ = 1/Cos θ
Tan θ = 1/Cot θ or Cot θ = 1/Tan θ
What are Pythagorean Trigonometric Identities?
In total there are three Pythagorean trigonometric identities. These identities are based on the right-angle triangle theorem which is also known as the Pythagorean theorem. These are the Pythagorean identities:
sin2 a + cos2 a = 1
1+tan2 a = sec2 a
cosec2 a = 1 + cot2 a
What Do You Mean by the Ratio Trigonometric Identities?
These are the following trigonometric ratio identities:
Tan θ = Sin θ/Cos θ
Cot θ = Cos θ/Sin θ
Did You Know?
Trigonometry is one of the ancient subjects that is being studied by many scholars over the world. Well, this was all about trigonometry, trigonometry formula, and trigonometry ratios. With the help of these ratios and formulas, we can find out the value of the unknown side or angle of the right-angle triangle.
Students are required to practice the problem sums related to the trigonometric concept. Likewise, there are other such concepts of Maths that are mandatory for the students to study in their Mathematics study. We thus, present a range of such studies which helps the students to make their understanding g lucid about every concept. You can follow Cuemath for the same.