NCERT solutions of class 12 maths exercise 2.1 of chapter 2-Inverse Trigonometry Functions

NCERT solutions of class 12 maths exercise 2.1 of chapter 2-Inverse Trigonometry Functions gives you an idea about a new trigonometric function which is known as an inverse trigonometric function, trigonometric functions like sin,cos, tan etc are defined as the ratio between the sides of a right triangle,if we are given the sides of right triangle ΔABC then we can easily get the value of tan A, sin B, etc.If we are given the ratio between the sides then how can we calculate the ∠A and ∠B if it is given that ∠C is 90°. For solving this problem the concept of opposite trigonometric function is raised known as Inverse Trigonometry Functions,if sin A = 3/4 then A =sin^-1(3/4),we can see the value of A in the trigonometric table or evaluate with the help of the calculator.

All NCERT solutions of class 12 maths exercise 2.1 of chapter 2-Inverse Trigonometry Functions are solved by an expert of maths by a step by step method,so every student can understand the solutions easily.

NCERT solutions of class 12 maths exercise 2.1 of chapter 2-Inverse Trigonometry Functions

Find the principal values of the following.

Ans.considering the given function equivalent to y

sin y = -1/2

sin π/6 = 1/2

sin y= -sin π/6

sin y = sin(-π/6)

y = -π/6

We know the range of Sin^-1  is [-π/2,π/2]

So, the principal value of y is ( -π/6)

Let y = cos^-1(√3/2)

cos y = √3/2

cos y = cos π/6

y  = π/6

The range of principal value of  cos^-1  is [0, π]

So, the required principal value is π/6

Let y = cosec^-1(2)

cosec y = 2

since cosec π/6 = 2

cosec y = cosec π/6

We know the range of Sin^-1  is [-π/2,π/2]

Therefore the principal value of cosec^-1(2) is π/6

Let y = tan^-1(√3)

tan y = √3

tan y = tan π/6

The range of principal value of tan^-1  is [-π/2,π/2]

Therefore the principal value of tan^-1  √3 is π/6

Let y = cos^-1  (-1/2)

cos y = -1/2

since cos π/3 = 1/2

cos y = – cos π/3 = cos (π-π/3)

cos y = cos (2π/3)

We, know the range of principal value of cos^-1  (-1/2) is [0,π]

Hence, the principal value of  cos^-1  (-1/2) is 2π/3

Let y = tan^-1  (-1)

tan y = -1

since tan π/4 = 1

tan y = – tan π/4

tan y = tan (- π/4)

We, know the range of principal value of tan^-1   is [-π/2,π/2]

Hence, the principal value of  tan^-1  (-1) is -π/4

Let y = sec^-1  (2/√3)

sec y = 2/√3

since sec π/6 = 2/√3

sec y =  sec π/6

We, know the range of principal value of sec^-1   is [0,π]

Hence, the principal value of  sec^-1  (-1/2) is π/6

Let y = cot^-1  (√3)

cot y = √3

since cot π/6 = √3

cot y =  cot π/6

We, know the range of principal value of cot^-1   is [-π/2,π/2]

Hence, the principal value of  cot^-1  (√3) is π/6

Let y = cos^-1  (-1/√2)

cos y = -1/√2

since cos π/4 = 1/√2

cos y = – cos π/4 = cos (π-π/4)

cos y = cos (3π/4)

We, know the range of principal value of cos^-1   is [0,π]

Hence, the principal value of  cos^-1  (-1/2) is 3π/4

Let y = cosec^-1(-√2)

cosec y = -√2

since cosec π/4 = √2

cosec y = -cosec π/4 =cos(-π/4)

We know the range of cosec^-1  is [-π/2,π/2]

Therefore the principal value of cosec^-1(√2) is -π/4

You can compensate us by donating any amount of money for our survival

Our Paytm NO 9891436286

NCERT Solutions of Science and Maths for Class 9,10,11 and 12

NCERT Solutions for class 9 maths

Chapter 1- Number System	Chapter 9-Areas of parallelogram and triangles
Chapter 2-Polynomial	Chapter 10-Circles
Chapter 3- Coordinate Geometry	Chapter 11-Construction
Chapter 4- Linear equations in two variables	Chapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s Geometry	Chapter 13-Surface Areas and Volumes
Chapter 6-Lines and Angles	Chapter 14-Statistics
Chapter 7-Triangles	Chapter 15-Probability
Chapter 8- Quadrilateral

NCERT Solutions for class 9 science 

Chapter 1-Matter in our surroundings	Chapter 9- Force and laws of motion
Chapter 2-Is matter around us pure?	Chapter 10- Gravitation
Chapter3- Atoms and Molecules	Chapter 11- Work and Energy
Chapter 4-Structure of the Atom	Chapter 12- Sound
Chapter 5-Fundamental unit of life	Chapter 13-Why do we fall ill ?
Chapter 6- Tissues	Chapter 14- Natural Resources
Chapter 7- Diversity in living organism	Chapter 15-Improvement in food resources
Chapter 8- Motion	Last years question papers & sample papers

NCERT Solutions for class 10 maths

Chapter 1-Real number	Chapter 9-Some application of Trigonometry
Chapter 2-Polynomial	Chapter 10-Circles
Chapter 3-Linear equations	Chapter 11- Construction
Chapter 4- Quadratic equations	Chapter 12-Area related to circle
Chapter 5-Arithmetic Progression	Chapter 13-Surface areas and Volume
Chapter 6-Triangle	Chapter 14-Statistics
Chapter 7- Co-ordinate geometry	Chapter 15-Probability
Chapter 8-Trigonometry

CBSE Class 10-Question paper of maths 2021 with solutions

CBSE Class 10-Half yearly question paper of maths 2020 with solutions

CBSE Class 10 -Question paper of maths 2020 with solutions

CBSE Class 10-Question paper of maths 2019 with solutions

NCERT Solutions for Class 10 Science

Chapter 1- Chemical reactions and equations	Chapter 9- Heredity and Evolution
Chapter 2- Acid, Base and Salt	Chapter 10- Light reflection and refraction
Chapter 3- Metals and Non-Metals	Chapter 11- Human eye and colorful world
Chapter 4- Carbon and its Compounds	Chapter 12- Electricity
Chapter 5-Periodic classification of elements	Chapter 13-Magnetic effect of electric current
Chapter 6- Life Process	Chapter 14-Sources of Energy
Chapter 7-Control and Coordination	Chapter 15-Environment
Chapter 8- How do organisms reproduce?	Chapter 16-Management of Natural Resources

NCERT Solutions for class 11 maths

Chapter 1-Sets	Chapter 9-Sequences and Series
Chapter 2- Relations and functions	Chapter 10- Straight Lines
Chapter 3- Trigonometry	Chapter 11-Conic Sections
Chapter 4-Principle of mathematical induction	Chapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbers	Chapter 13- Limits and Derivatives
Chapter 6- Linear Inequalities	Chapter 14-Mathematical Reasoning
Chapter 7- Permutations and Combinations	Chapter 15- Statistics
Chapter 8- Binomial Theorem	Chapter 16- Probability

CBSE Class 11-Question paper of maths 2015

CBSE Class 11 – Second unit test of maths 2021 with solutions

NCERT solutions for class 12 maths

Chapter 1-Relations and Functions	Chapter 9-Differential Equations
Chapter 2-Inverse Trigonometric Functions	Chapter 10-Vector Algebra
Chapter 3-Matrices	Chapter 11 – Three Dimensional Geometry
Chapter 4-Determinants	Chapter 12-Linear Programming
Chapter 5- Continuity and Differentiability	Chapter 13-Probability
Chapter 6- Application of Derivation	CBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals

Class 12 Solutions of Maths Latest Sample Paper Published by CBSE for 2021-22 Term 2

Class 12 Maths Important Questions-Application of Integrals

Class 12 Maths Important questions on Chapter 7 Integral with Solutions for term 2 CBSE Board 2021-22

Solutions of Class 12 Maths Question Paper of Preboard -2 Exam Term-2 CBSE Board 2021-22

Solutions of class 12  maths question paper 2021 preboard exam CBSE Solution