√ Collection of Trigonometry Material Topics (Complete Discussion)
Collection of Trigonometry Material Topics (Complete Discussion) – This time we will discuss trigonometry material. Trigonometry is a branch of mathematics that deals with the relationships between angles and sides in triangles.
Collection of Trigonometry Material Topics (Complete Discussion)
Trigonometry is devoted to discussing the angles of triangles, especially right triangles. In the trigonometry material we will discuss terms such as sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secan (sec), and cotangent (cot).
Before going deeper, first master the basic concept of triangles, especially right triangles. A right triangle has 3 sides, namely the hypotenuse, side and front. Apart from that, a right triangle also has 3 angles, namely the right angle, the front angle, and the side angle, where when added together, the three angles add up to 180°.
Basic Trigonometry Concepts
In this basic trigonometry material, you will be introduced to the meaning of trigonometry material, the description of the sides of a triangle, terms that are commonly used, and the basic trigonometry formulas used.
Basic trigonometry material will also discuss concepts on how to use basic trigonometry formulas, such as the sine formula, cosecant formula, or cotangent formula.
In addition, you will study several chapters, such as: comparison of special angles, comparisons relation angle in quadrant one, angle more than 360°, negative angle ratio, and coordinates polar.
Trigonometric Identities and Equations
After knowing how the basic trigonometry concepts. You will be introduced to discussing advanced material, namely identities and trigonometry equations.
A trigonometric identity is an operation performed to prove two equivalent statements or to change form of a statement, while a trigonometry equation is an equation that contains one or more functions trigonometry.
There is a correlation between identity and similarity. To be able to solve equations, you can use the identity principle to simplify equations into their simplest form. Another way is to use algebraic techniques to simplify the equation.
The Concept of Sine, Cosiumus and Area of a Triangle
As before, an understanding of the basic properties and basic formulas of a triangle will help you better master the concept of sine, cosine, and area of a triangle. In this material, we will discuss how the sine and cosine rules can be applied to triangles.
There is a sine rule that can be used if 2 angles and 1 side are known or 2 sides and 1 angle of a triangle are known, while the cosine rule can be applied if the length of the sides of the triangle and the cosine of one of the angles in the triangle is known.
In addition, you can also find the area of a triangle if you know the sine of one of the angles. Besides that, there are sine rules, cosine rules, and the area of triangles that are important for you to master.
Trigonometry Concepts with the Sum of Two Angles
The concept of trigonometry with the sum of two angles can be used to calculate angles that have a magnitude in which there is a special angle. For example, an angle of 18 degrees. By using this method you can more easily calculate the sine, cosine, tangent of these angles.
In addition, this material can also be used to prove the known angular quantities. Broadly speaking, some of the material that you will face in this material, including addition & subtract two angles on sine, add & subtract two angles on cosine, tangent and angle double.
Basically, you'll find lots of formulas in this material, such as the sin formula, the cos formula, and the tan formula.
The Concept of Operations on Trigonometric Functions
The next trigonometry material is function operations. Trigonometric function operations are a basic operation whose application has the basic functions of trigonometry.
Basically, this operation is an operation to simplify a statement so that it is easier to calculate mathematically. in this material, you can also prove the results of addition, multiplication, or subtraction function.
Therefore, some of the material that will be given and taught to you in this chapter is addition of functions, subtraction of functions, and multiplication of functions. Basically you have to be able to master the previous trigonometry material concepts to be able to continue this material.
There are lots of questions about trigonometry. It is hoped that discussing each trigonometry concept can help you solve trigonometry concept questions. Hopefully the material above can be useful for all of us and understand more about trigonometry.
Thus our discussion this time about Collection of Trigonometry Material Topics (Complete Discussion). Hopefully the explanation above can be helpful and useful for all of us. Thank You.
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