In the previous chapter, we have studied about trigonometric ratios. But ever wondered where these ratios, or say, trigonometry is used? Or what are the applications of trigonometry in our day-to-day life? Well, this is the apt location to find that out! In this chapter, we will learn numerous astonishing ways in which trigonometry is …
Try solving this riddle. I have no vertices. I have no flat faces. I have infinite axes of symmetry. Who am I? It’s a Circle. We find circular objects everywhere from round cakes and bangles, to dartboard and cycle wheels. No wonder, the world of circles takes us to another tangent. Surprisingly, tangents are exclusively …
Imagine you are constructing a bridge. The instructions given for the construction should be followed precisely. Lack of understanding may result in the bridge to collapse. So, measurements and accuracy play a key role in any construction. On similar lines, when it comes to construction in mathematics, it holds the same strategy. Firstly, we should …
Things look far different in real life as against their pictorial depictions. It is because pictorial depictions, make us understand the architecture of any design or structure in a specific way. To understand the architecture, it is necessary for us to be equipped with the knowledge of using specific tools and constructing the shapes. In …
In our previous grades, we learned the formula to calculate the area of the triangle. Can you recall that? ½ (Base x Height). Let’s consider a triangle. The sides of the triangle measures, 4 cm, 3 cm and 6 cm. Now, can you calculate the area? By using the above formula, we cannot. So what …
Can you tell what is the difference between the surface area and the total surface area of any shape? Both sound the same, right? So why do we have two different formulae for these? You will know the answers to these questions yourself, once you start observing shapes and figures closely. In this chapter, we …
How do we know that the average rainfall the city received in July is 460mm? Or How can we conclude that China has the largest population in the world? Mathematics helps us. A field of mathematics called ‘Statistics’ does the work. Statistics assist us in the collection of data, analysing it, and further interpreting it, …
If we ask a cricket captain, to what are the chances that his team will win the game, he might turn up and say ‘50%’. This means there are 50% chances of winning and 50% chances of losing the game. The captain assumes this by taking into consideration all the aspects of the team playing …
We all know Pythagoras theorem by now. But did you know it played a crucial role in proving that irrational numbers exist? Yes! A triangle with two sides except for hypotenuse, measuring 1 unit was taken into consideration. The length of the hypotenuse will thus be the square root of 2. By using various equations …
Are you familiar with the term ‘monomial’? A monomial is an algebraic expression which consists of one term. For example – 30. In this expression, there is no other term other than 30. In the same way, an expression that consists of four or more terms is termed as ‘Polynomial’. In simple terms, polynomials are …
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