Posts

Trigonometric identities --> Final part ......

Image
Now let's end the trigonometry chapter by covering the last topic that is Trigonometric Identities ...... It includes only 3 identities and it is totally different from the algebraic identities so let's see the trigonometric identities which help to proof the expressions.... These above are the identities of trigonometry now it's time for some tricks to learn these identities easily..... I hope these tricks will be helpful to remember the Identities....... And also let me share the relationship between the entities with respect to angle...... Sin (90 - A) = Cos A          Cos (90 - A) = Sin A Cosec (90 - A) = Sec A      Sec (90 - A) = Cosec A Tan (90 - A) = Cot A          Cot (90 - A) = Tan A With this blog the basic trigonometry is over and let's wind up this by some questions.... Questions : 1.  Express the trigonometric ratios sin A , sec A        and tan A in terms of cot A  2.  Evaluate:   sin 25° cos 65° + cos 25° sin 65° 3.  What is the value of   9 sec² A – 9 ta

Trigonometric tableπŸ“....

Image
 After reading the previous blog of trigonometry and hope you have completed the questions without any doubt..... Let's go for another part of trigonometry that is the trigonometric table which include angles of trigonometric functions and their values on that specific angles...... For example : In Sin A if the angle A is 30° than what will be the value of Sin 30° , likewise this topic includes every trigonometric function's angles and values .... So let me share you the table which is a very important part of trigonometry chapter.... May be it is challenging for you to remember this table so let me give you one trick which will make it easy to learn and remember.... For Sin ΞΈ Angles ->     0°            30°            45°             60°            90°     √0  = 0        √1  = 1         √2  = 1          √3  = √3        √4 = 1     √4             √4    2       √4     2       √4      2       √4 For Cos ΞΈ Observe in the above table it is nothing but Reverse of Sin  ΞΈ .... Fo

Trigonometry basics ∆.....

Image
Hello learners πŸ‘‹πŸΌ....... Let's start the new blog on the topic i.e. trigonometry which surrounded by the 6 entities written as follows :- 1. Sin A (Sine of angle A) 2. Cos A (Cosine of angle A) 3. Tan A (Tangent of angle A) 4. Cosec A (Cosecant of angle A) 5. Sec A (Secant of angle A) 6. Cot A (Cotangent of angle A) Trigonometry is a vast chapter so in this blog we will take only one topic i.e. trigonometric ratios .... Trigonometric ratios means the relation between the entities and the angle of triangle and the sides of the triangle πŸ“...... Let's first see the relation between these entities with one another..... Now let's see the relation between the entities and the angle and sides of the right angled triangle.... May be you all know the tricks of learning this trigonometric ratios still let me tell you the trick..... Sin A      Cos A       Tan A Pandit     Badri     Prasad    Har        Har        Bhole Sin A =  P       Cos A =   B               Tan A =  P      

Magic of signs ✖️➕➖➗.....

Image
Hello again learners.... Let's start with the new blog on magic of signs as which sign changes if it deals with other sign i.e. what will be the final sign outcome.... Well it's too basic but it is the base of the maths i.e. foundation of mathematics, so it is important to clarify this concept as it is not only used in solving the mathematical problems but also used in our daily lives.... So first let me share one image with you for more clarification and understanding.... Go through it once for better understanding... Many students confuse in this steps while applying BODMAS students also have to keep in mind this operations for solving problems correctly and with accuracy..... Let me give you some questions so that it will test your understanding about this concept..... Solve without using calculator :- 1.  6 - 2 2.  (-4) × (-2) 3.  (-10) / 5 4.  (-10) - (-2) 5.  7 × (-10) 6.  (-9) + 4 7.  10 / (-2) 8.  1 - 8 9.  (-7) + (-7) 10. 16 / (-2) Must solve these above questions πŸ‘†πŸΌ

LCM & HCF.....

Image
Hello learners, Let's start this blog with the hope that you have attempted all the questions given in the previous blog and also without any query...... In this blog I am sharing about a very basic topic and may be everyone is very well aware about this but the reason of sharing about  these terms and concepts is to refreshing the previous knowledge.... So yeah, the topic of this blog is mentioned above  i.e., LCM and HCF ...... Let's first write it's full form and define the terms with an example and process... 1. LCM ( least common multiple ) It is the product of the greatest power of each prime factor, involved in the numbers. For clarification let's take an example LCM of 6 and 20 is 2² × 3¹ × 5¹ which is equal to 60 . LCM(6,20) = 2² × 3¹ × 5¹                    = 60 Let me show you how to calculate thisπŸ‘‡πŸΌ....             Now let's define Other term , 1. HCF ( highest common factor ) It is the product of the smallest power of each common prime factor in the n

Algebraic identities 🀟🏼....

Image
  Hello again curious minds .....  H ope you have tried all the questions which I had given in the previous blog and in case if not done then go back and must try as it will help you to check your understanding of concept...... So, now let's learn some algebraic identities which will help to solve the big calculations in a short and simple way and also it will take less time..... May be you are familiar with these identities, if yes then just see it once so that it will get refreshes..... And also we will see it's benefits in solving the problems by taking some examples...... Let's first list out all identities... We will not list out it normally ,let's make little colorful and attractive by using  CANVA  🀟🏼.... Just try to memorize these identities or also we can learn it with the help of binomial theorem and also by diagram.... Binomial theorem -  Let's see how we can use binomial theorem to learn the identities by taking one or two samples...... As you can see

Properties of numbers πŸ”’

Image
We know about various types of numbers as discussed in previous blog , if anyone unable to retrieve then go through it once again ..... Now we will learn about various properties of different types of numbers .... First of all let's list down all the properties:- 1. Commutative property 2. Associative property 3. Distributive property 4. Additive identity 5. Multiplicative inverse 6. Closure property 7. Transitive property It is obvious that Everyone will think that what is the benefit of learning these properties of numbers in mathematics so let's understand the importance of properties in mathematics..... Properties form the backbone of mathematical concepts. By learning properties, students gain a deeper understanding of how numbers and operations behave, which lays a solid foundation for tackling more complex mathematical topics. Also, Understanding properties enhances problem-solving abilities by providing strategies for simplifying expressions, identifying patterns, and d