Mathematics Crash Course (Based on Revised Syllabus-2023)

Mathematics

Trigonometry

This chapter addresses the concepts of trigonometry, along with trigonometric ratios. We will understand the trigonometric ratios of some specific angles and complementary angles. It explains how to derive trigonometric identities.

Attempt the practice questions on Chapter 11: Trigonometry, Exercise 1: Exercise with hints and solutions to strengthen your understanding. Mathematics Crash Course (Based on Revised Syllabus-2023) solutions are prepared by Experienced Embibe Experts.

Embibe Experts Solutions for Chapter: Trigonometry, Exercise 1: Exercise

Trigonometric Ratios of Complementary Angles

Trigonometric Ratios for the Angle of 30 Degrees

Trigonometric Ratios for a Point

Express All Trigonometric Ratios in Term of secA

Relation Between Trigonometric Ratios

Trigonometric Ratios in Terms of One Angle

Illustration on Trigonometric Ratio for Given Ratio

Trigonometric Identities

Trigonometric Ratios: Sum and Difference of Angles

This chapter sheds light on the concept of pairs of linear equations in two variables. The solution of linear equations in two variables and algebraic methods of finding the solution for them are discussed here.

Pair of Linear Equations in Two Variables

This chapter deals with the concept of sets. Here, it explains the set, roster form, and set builder form. We will learn about the types of sets. We will also learn how to use the diagrams to represent sets, universal sets, subset, and Venn diagrams.

Sets

This chapter introduces applications of trigonometry. It discusses drawing figures to solve problems related to applications of trigonometry, which includes heights and distance. We will also understand how to determine the solution for two triangles.

Applications of Trigonometry

This chapter discusses polynomials. We will learn the degree, value, and zeros of a polynomial. The geometrical meaning of polynomial zeros, the relationship between zeros and coefficients, and the division algorithm for polynomials are explained.

Polynomials

This chapter provides knowledge of mensuration. We will understand the surface area and volume of the combination of solids. The conversion of solid from one sheet to another is also demonstrated here through various illustrations.

Mensuration

Solved Mathematics Paper-2

In this chapter, we will acquire knowledge about quadratic equations. It explains the solution of a quadratic equation by factorisation method and completing the square method. We will also understand the nature of roots here.

Quadratic Equations

This chapter explores real numbers. We will understand the fundamental theorem of arithmetic. Irrational numbers, non-terminating, recurring decimals in rational numbers are also discussed here, along with many practice examples.

Real Numbers

This chapter focuses on the concept of statistics. We will understand the mean of ungrouped data, a median of grouped data, and mode. It also helps us in learning the central tendency and graphical representation of cumulative frequency distribution.

Statistics

Solved Mathematics Paper-1

This chapter deals with coordinate geometry. The distance between two points and the distance between two points on a line parallel to the coordinate axes are discussed here. It also explains the distance between two points in the X-Y plane.

Coordinate Geometry

This chapter deals with tangents and secants to a circle. Tangents of a circle and related concepts are discussed in detail here. We will study determining the number of tangents to a circle from any point and segment of a circle formed by a secant.

Tangents and Secants to a Circle

This chapter sheds light on probability by explaining it through an experiment. The probability theory is described here in detail. We will understand mutually exclusive events, complimentary events, impossible, and certain events.

Probability

This chapter throws light on similar triangles. We will understand the similarity of triangles and different criteria for the similarity of triangles. The areas of similar triangles and Pythagoras theorem are also discussed.

Similar Triangles

This chapter talks about progressions. Arithmetic progression (AP), the general form of AP, and its parameters are discussed. The sum of the first n terms in AP and nth term of AP are explained. We will also study geometric progressions.

Progressions

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Get simple step-by-step Embibe Experts solutions to Chapter Trigonometry for Mathematics Crash Course (Based on Revised Syllabus-2023) with 3D learning videos & cheat sheets.

Trigonometry

Embibe Experts Mathematics Solutions from Chapter 11 - Trigonometry

Exercise Questions from Trigonometry

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