Trigonometric Formulae: Trigonometry studies triangle. The concept of trigonometry deals with the lengths and angles of the triangles. You might wonder where trigonometry can be used? But let me tell you, the study of trigonometry and the uses of trigonometric formulas are used in the study of geography which helps in measuring the distance between the landmarks, the use of trigonometric formulae is also used in astronomy which helps in measuring distances between the stars and satellites. Thus, trigonometric formulae are studied while studying the trigonometry of a triangle.
Well, before our in-depth discussion of trigonometry and its formulae, let us study the area of the rectangle.
Learn About the Trigonometric Formulae
Foremostly, this has to be kept in mind that, when we talk about trigonometry formulae, we only consider them from the right-angled triangle perspective.
A right-angled triangle has 3 sides namely – hypotenuse, perpendicular, and base.
The hypotenuse is the longest side.
What are Some Basic Trigonometric Formulae?
The trigonometry formulae is basically a set of trigonometric functions and identities. There are 6 ratios that can be used in finding the elements in the study of trigonometry. The six trigonometry functions with their ratios are as follows:
- sin θ = Opposite Side/Hypotenuse
- cos θ = Adjacent Side/Hypotenuse
- tan θ = Opposite Side/Adjacent Side
- sec θ = Hypotenuse/Adjacent Side
- cosec θ = Hypotenuse/Opposite Side
- cot θ = Adjacent Side/Opposite Side
Know About the Reciprocal Identities
The reciprocal identities are given as follows:
- cosec θ = 1/sin θ
- sec θ = 1/cos θ
- cot θ = 1/tan θ
- sin θ = 1/cosec θ
- cos θ = 1/sec θ
- tan θ = 1/cot θ
How Would you Define the Area of Rectangle?
In the study of geometry, the area of the rectangle simply means the area which is enclosed by the two-dimensional figure.
What is Rectangle?
The rectangle is an enclosed figure 2D figure which has four sides and four vertices of its own. The rectangle can also be called a type of quadrilateral. All the four angles of the rectangle will be equal to 90 degrees. The sides are opposite to each other and are fitted parallelly against each other.
It is noteworthy, that a parallelogram also has the opposite sides which are equal to each other while all the angles will not be 90 degrees aligned.
Lay Down the Formula of Area of Rectangle
As already studied, the area of the rectangle is nothing but the area which is encompassed within the 2-D structure of the rectangle. The mission of the area of rectangle is to find out the area which is occupied by the rectangle within its four sides or boundaries. Thus, the area of the rectangle will depend on the sides of the rectangle.
The area of the rectangle will depend on the sides of the figure. The formula for the area of the rectangle is:
Length x Breadth
A = lb
How do you Calculate the Area of a Rectangle?
Following are the steps which will help us in calculating the area of the rectangle. The steps are as follows:
- Step 1: First find out the dimensions of the length and the width of the rectangle from the data given in the question.
- Step 2: Now with the values of length and width, multiply the values by each other.
- Step 3: Now finally write the answers in the square unit value.
All these formulae are taken from the figure of a right-angled triangle. With knowing the sine, cosine, tangent, secant, cosecant, and cotangent data you can easily estimate the values of the trigonometric equations. Even these reciprocal identities are also formed by using these trigonometric functions. We also studied the area of a rectangle which was yet another important study in geometry.
Students can learn even more about such mathematical concepts. In Cuemath, we provide interesting mathematical studies which will clear all your doubts in an interactive and fun manner.