Trigonometric Functions Class 11 CBSE Maths Chapter 3


Class 11 CBSE Maths Syllabus
Chapter 1:Sets
Chapter 2: Relations and Functions
Chapter 3: Trigonometric Functions
Chapter 4: Principles of Mathematical Induction
Chapter 5: Complex Numbers and Quadratic Equations
Chapter 6: Linear Inequalities
Chapter 7: Permutations and Combinations
Chapter 8: Binomial Theorem
Chapter 9: Sequences and Series
Chapter 10: Straight lines
Chapter 11: Conic Sections
Chapter 12: Introduction to 3D
Chapter 13: Limits and Derivatives
Chapter 14: Mathematical Reasoning
Chapter 15: Stastics
Chapter 16: Probability
Introduction
The word ‘Trigonometry’ is derived from the Greek words ‘trigon’ and ‘metron’. It means ‘measuring the sides of a triangle’. The subject was developed to solve geometric problems involving triangles. It was studied by sea captains for navigation, surveyor to map out the new lands, by engineers and others. Currently, trigonometry is used in many areas such as the science of seismology and designing electric circuits. Describing the state of an atom, predicting the heights of tides in the ocean and analysing a musical tone are other areas.

The NCERT Solutions for Class 11 Exercise 3.3 contain the necessary details to help students solve the paper efficiently. Some of the important points or formulae are mentioned below.

  1. sin (– x) = – sin x
  2. cos (– x) = cos x
  3. cos (x + y) = cos x cos y – sin x sin y
  4. cos (x – y) = cos x cos y + sin x sin y
  5. sin (x + y) = sin x cos y + cos x sin y
  6. sin (x – y) = sin x cos y – cos x sin y
  7. sin(π/2-A) = cos A
  8. cos(π/2-A) = sin A
  9. sin(π-A) = sin A
  10. cos(π-A) = -cos A
  11. sin(π+A)=-sin A
  12. cos(π+A)=-cos A
  13. sin(2π-A) = -sin A
  14. cos(2π-A) = cos A
Exercise 3.1


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