Trigonometric concepts were first used by Greek and Indian astronomers. Its applications can be found all through geometric concepts. Trigonometry has an intricate relationship with infinite series, complex numbers, logarithms and calculus.
Knowledge of Trigonometry is useful in many fields like navigation, land survey, measuring heights and distances, oceanography and architecture. Having ground knowledge in the subject is good for the future academic and career prospects of students.
Trigonometry has basic functions like cosine, sine, tangent, cosecant, secant and cotangent. Learning all these six functions without fault is the way to do success in doing Trigonometry.
Making a child understand Trigonometry is not a difficult task if one follows certain tips as follows.
1. Helping the child understand triangles with life examples: There are many objects that contain right-angled triangles and non right ones in the world. Showing the child a church spire or dome and asking the child to understand what a triangle is the easiest way to make a child understand the fundamentals of Trigonometry.
2. Brushing up Algebra and Geometry skills: Before starting Trigonometry, students should be confident of their basic skills in Algebra and Geometry to cope with the first classes in the subject. A student has to concentrate on algebraic manipulation and geometric properties like circle, interior and exterior angles of polygon and types of triangles like equilateral, isosceles and scalene. Algebraic manipulation is a basic mathematical skill required for entering any branch of Math. A basic knowledge of Geometry is equally important for understanding the basics of Trigonometry.
3. A good knowledge of right-angled triangles: To understand Trigonometry better, a student should start with right-angled triangles and understand their three sides (hypotenuse and the two legs of the triangle). The essential aspect of it is that hypotenuse is the biggest side of the right triangle.
4. Knowing the basic ratios: Sine, cosine and tangent are the mantra of Trigonometry. These three functions are the base of Trigonometry. Making a child understand these ratios with perfect comprehension helps the child move on to difficult topics with ease. The sine of an angle is the ratio of the length of the side opposite to the length of the hypotenuse. The cosine of an angle is the ratio of the length of the side next to the length of hypotenuse. The tangent is the ratio of the sine of the angle to the cosine of the angle.
5. Understanding non right triangles: Knowing sine rules and cosine rules helps a student do non- right triangles without difficulty. As such, children learn other three ratios (cosecant, secant and cotangent). Next, they have to move on measure angles in radians and then solving Trigonometry equations and thus their understanding Trigonometry becomes complete and perfect.
Practice plays a major role in understanding Trigonometry functions. Rote memorization of formulas does not lead to success in learning Trigonometry. Basic understanding of right triangles and non right triangles in the context of life situations helps students do Trigonometry without hassle.
With the online interactive learning methods available for understanding Trigonometry, it is not a hard task to learn the subject. If it is all the more threatening, students could access Trigonometry online tutoring services and understand the subject without hassle.