Unit 11 Class 11 Math Notes – Trigonometric Functions and Their Graphs (Punjab Board New Book)
Unit 11 (Chapter 11) Class 11 Math Notes – Trigonometric Functions and Their Graphs: step-by-step solutions of Exercise 11.1, Exercise 11.2 and Exercise 11.3 for the Punjab Board new book (1st Year). Tap an exercise below to open its PDF solution, then view it online or download it.
This unit is part of our Class 11 maths notes for the Punjab Board new book, where you can open the solutions of the other units.
Exercise Wise Solutions of Unit 11 Class 11 Math
What Each Exercise of Unit 11 Covers
Exercise 11.1 – Even, Odd and Periodic Functions
Exercise 11.1 has 2 questions (19 parts) on checking whether trigonometric functions are even or odd and finding their periods.
Exercise 11.2 – Graphs of Trigonometric Functions
Exercise 11.2 covers drawing graphs from tables of values, finding amplitude and period, and plotting two graphs on the same axes.
Exercise 11.3 – Maximum, Minimum Values and Models
Exercise 11.3 has 9 questions on maximum and minimum values (including \(\dfrac{1}{10-2\sin3x}\)) and trigonometric models such as temperature, lighthouse and tree heights, a Ferris wheel, a swing and population.
Key Formulas of Unit 11 Class 11 Math
- Even function: \(f(-x)=f(x)\). Odd function: \(f(-x)=-f(x)\).
- Period of \(\sin bx\) and \(\cos bx\) is \(\dfrac{2\pi}{|b|}\); period of \(\tan bx\) is \(\dfrac{\pi}{|b|}\).
- For \(y=a+b\sin x\): maximum is \(a+|b|\) and minimum is \(a-|b|\).
Related Class 11 Math Notes
Continue with Unit 10 Class 11 Math Notes and Unit 12 Class 11 Math Notes, or go back to the Class 11 maths notes hub for all 14 units.
FAQs About Unit 11 Class 11 Math
How many exercises are there in Unit 11?
Unit 11 has three exercises: Exercise 11.1, 11.2 and 11.3.
Are the graphs drawn in the solutions?
Yes. The Exercise 11.2 solutions include the table of values and the graph for each question.
Are these notes for the new book?
Yes. These solutions are for the new Class 11 mathematics book by PECTAA (2025 edition onwards), used by the nine BISE Punjab boards: Lahore, Gujranwala, Faisalabad, Multan, Rawalpindi, Sargodha, Sahiwal, Bahawalpur and Dera Ghazi Khan.