Some Applications Of Trigonometry Class 10 Pdf

NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry

It's easy to score full marks in Trigonometry (???????????) if your concepts are clear and you have done enough practice. Our NCERT (?????????) solutions for chapter 9 - Some Applications of Trigonometry - help you master the concepts and solve all the exercises and questions. You can download the solutions for free and score full marks in CBSE (??????? ?????) class 10th (kaksha das) board exams. In chapter 9, you learn about the applications of Trigonometry (Trikonmiti). In topic 9.1, you will learn about 'Heights and Distances.' The best way to crack this chapter is to clear all your Trigonometric concepts and formulas and solve as many problems as possible. This is where, NCERT solutions, prepared by our team of experts, help you. By mastering the concepts, you stand a good chance to score full marks in class 10 Maths board exams. We provide our NCERT solutions for class 10th Maths for free. You can download these solutions on your mobile phone, desktops, laptops, etc. You can also take their print outs so that you can refer them whenever you need to revise your syllabus. Apart from our free to download NCERT Solutions for chapter 9, you can also consider our paid video courses prepared by our teachers who have decades of experience. In these video lessons, our teachers decode the entire Mathematics for you. Within a short period of time, Maths becomes easy for you. You master the concepts. You start solving the questions like a champion. And your chances to score full marks in the board exams automatically go up.

Mathematics class 10 Based on NCERT Guidelines

1. Real Number : Euclid’s division lemma, Fundamental Theorem of Arithmetic-statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals. Unit II : Algebra 1. Polynomials : Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients. 2. Pair of Linear Equations in Two Variables: Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically-by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equation reducible to linear equations. 3.Quadratic Equations : Standard form of a quadratic equation ax2 + bx + c = 0, (a ¹ 0). Solutions of quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminate and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated. 4. Arithmetic Progressions: Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. their application in solving daily life problems. Unit III: Coordinate Geometry 1. Lines (In two-dimensions) : Review : Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle. Unit IV: Geometry 1.Triangles: Definition, examples, counter examples of similar triangles 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line in parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides proportional and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. 6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other. 7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. 8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle. 2. Circles Tangent to a circle at, point of contact : 1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. 2. (Prove) The lengths of tangents drawn from an external point to a circle are equal. 3.Constructions : 1. Division of a line segment in a given ratio (internally) 2. Tangents to a circle from a point outside it. 3. Construction of a triangle similar to a given triangle. Unit V : Trigonometry 1. Introduction of Trigonometry : Trigonometric ratios of an acute angel of a right-angled triangle. Proof of their existence (well defined) ; motivate the ratios whichever are defined at 0 and 90. Values (with proofs) of the trigonometric ratios of 30º, 45º and 60º. Relationship between the ratios. 2.Trigonometric Identities : Proof and applications of the identity sin2 A + cos2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles. 3. Heights and Distances : Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30º, 45º, 60º. Unit VI : Mensuration 1.Areas Related to Circles : Motivate the area of a circle ; area of sectors and segments of a circle. Problems based on area and perimeter/circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60º, 90º and 120º only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.) 2. Surface Areas and Volumes : 1. Surface areas and volumes of combination of any two of the following : cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone. 2. Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken.) Unit VII : Statistics and Probability 1.Statistics : Mean, median and mode of grouped data (bimodal situation to be avoided) cumulative frequency graph 2.Probability : Classical definition of probability. Simple problems on single events (not

Educart CBSE Class 10 Question Bank SCIENCE, MATHS & SOCIAL SCIENCE For 2023-2024 (Combo of 3 Books)