The relationship between the base angle and the sides of a triangle is expressed as trigonometric functions. It is also known as the angle of the functions. Sine, cosine, tangent, co-tangent, cos, and cosec are the basic trigonometric functions. We have various values for the trigonometric function, cos square x formula at different angles. The angles vary from 0 to 360. The various angles at which we get value for the functions are 0, 30, 60, 90, 180, 360, degrees. To classify the cos square theta trigonometric function there are some primary trigonometric ratios.
The primary trigonometric ratios are sine, cosine, and tangent. These trigonometric functions are important in mathematics and easy to learn. These trigonometric functions of cos square theta and the primary ratios are required for solving the sums of calculus as well. As you learn there are basically three trigonometric ratios or functions Sin x, Cos x, Tan x, cos square theta sin square theta is known as the double angle formulas. They have double angles in them.
Here the main aim is to help to get good grades for students. If a student follows the applications of trigonometric functions he or she will surely get good grades. Trigonometric functions like sine, cosine, and tangent are very important and are interconnected. These functions help to solve various mathematical problems. These trigonometric functions and their formulas are easy to remember and their application in mathematics is quite interesting.
1. What are Trigonometric Ratios?
Ans: The trigonometric functions of a triangle is also known as a trigonometric ratio. Sine, cosine and tangent are the three basic trigonometric ratios. Sine is abbreviated as sin, cosine is abbreviated as cos and tangent is abbreviated as tan. Sine, cosine and tangent have a huge application in the trigonometric world of mathematics and physics as well. Let us understand with a help of a perpendicular triangle. We all know a perpendicular triangle has one side 90o. The base is known as the adjacent side. The perpendicular side is known as the opposite. The side left is termed the hypotenuse.
2. Why cosθ or cos2θ is Important in Trigonometric Function?
Ans: All the periodic and non-periodic functions have their own importance in the world of trigonometry. Cosine is also a periodic function and has a huge application in mathematics. With the help of the unit circle, we can understand the cosine function. It is the simplest way to understand the cosine function. Firstly, draw a unit circle on the coordinate with its centre at an angle theta. The right side has a positive x-axis and the left side has a negative x-axis. The positive y-axis is (0, sineθ). The positive x-axis is (cosθ, 0). The hypotenuse is (cosθ, sineθ).
3. What is the Definition of Trigonometric Functions?
Ans: Cosine, sine, and tangent are the primary trigonometric functions. The various angles at which we get value for the functions are 00, 300, 600, 900, 1800, 3600. In various trigonometric calculations, 1 cos squared theta, is used. Using six trigonometric ratios that are used in trigonometry, we can perform trigonometric calculations. With these trigonometric ratios, we can solve or derive almost any trigonometric calculations. Sine, cosine, tangent, co-tangent, cos, and cosec are some of the trigonometric functions. Here sine and cosine are the fundamental ratios. Tan, cot, sec is the derived function. Some ratios of sine, cot, and tan are present.
Sinx = opposite/hypotenuse.
Cosx = adjacent/hypotenuse.
Tanx = sin x/cos x.