### 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 .

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