### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Graphs of Trigonometric Functions

(i)  Graph of We take the interval , where length of the interval is .

(i) For , decreases from .

(ii) For , increases from .

(iii) For , increases from .

(iv) For , decrease from . i.e. , its graph lies between the lines and .

(ii) Graph of In interval (i) For , increases from (ii) For , decreases from  at and  , .

This graph lies between and .

(iii) Graph of  is not defined at and . It increases from to in and then from to in .

(iv) Graph of  is not defined at and . So, the graph of is  a decreasing graph.

(v) Graph of (i) decreases from in and is undefined at .

(ii) It again decreases from in and increases from in and is undefined at (iii) It increases from in .

(vi) Graph of (i) is undefined at . It increases from in the interval .
(ii) It decreases from in and is undefined at .
(iii) It decreases from in and again increases from in and is undefined at .