MATHS ASSIGNMENT VERY HARD

VIDYA MANDIR PUBLIC SCHOOL
CLASS: XI

MATHEMATIC HOLIDAY
HOMEWORK
CONTENT:

Chapter-3 Trigonometry

Chapter-4 Complex Numbers

Chapter-5 Linear Inequation


GENERAL INSTRUCTIONS:
 HOLIDAYS HOMEWORK SHOULD BE DONE IN A SEPARATE
NOTEBOOK.
 HOLIDAYS HOMEWORK MUST BE DONE IN A VERY NEAT AND
PRESENTABLE MANNER.
 SUBMISSION OF HOLIDAYS HOMEWORK POST VACATION IS
COMPULSORY FOR ALL THE STUDENTS.
 THE STUDENT WILL BE ASSESSED FOR THE PRESENTATION,
NEATNESS, COMPLETION OF ALL THE QUESTIONS AND INDEXING OF THE
WORK.

, Chapter – 3 : TRIGONOMETRY
IMPORTANT CONCEPTS AND FORMULAE
 The word ‘trigonometry’ is derived from the greek words ‘trigon’ and ‘metron’ and it
means ‘measuring the sides of a triangle’. The subject was originally developed to
solve geometric problems involving triangles.Currently, trigonometry is used in many
areas such as the science of seismology,designing electric circuits, describing the state
of an atom , predicting the heights of tides in the ocean, analysing a musical tone and
in many other areas.


Relation between degree and radian
Radian measure = 180 x Degree measure


Degree measure= x Radian measure
180
Trigonometric identities
cos2 x  sin2 x  1 ; sec2 x  ta n2 x  1 ; cosec2 x  cot 2 x  1

Trigonometric functions of sum and difference of two
angles
sin  x  y   sin x cos y  cos x sin y cos  x  y   cos x cos y sin x sin y
tan x  tan y
tan  x  y   ;
1 tan x tan y
cot x cot y 1
cot  x  y  
cot x  cot y
sin 2 x  2sin x cos x cos 2 x  cos2 x  sin2 x
;

tan 2 x 
2 tan x cos 2 x  2cos2 x  1
;
1  tan 2 x
sin 3 x  3sin x  4sin3 x ; cos 2 x  1  2sin2 x
1  tan 2 x
cos 2 x 
cos 3 x  4cos3 x  3cos x 1  tan 2 x
3 tan x  tan 3 x
tan 3 x 
1  3 tan 2 x