NCERT Solutions for Exercise 8.2 Class 10 Maths Chapter 8 - Introduction to Trigonometry

The Topic of Trigonometric ratios and ratios of particular specific angles is covered in NCERT Solutions for Class 10 Maths exercise 8.2 . The ratios of the sides of a right triangle to their sharp angles are known as trigonometric ratios. The hypotenuse, which is the longest side of the right angle triangle, the perpendicular, which is the opposite side to the right angle triangle's angle, and the base, which is the next side to the right angle triangle's angle are the three sides of the right angle triangle. There are six trigonometric ratios discussed in NCERT syllabus that are sine, cosine, tangent, cosecant, secant, and cotangent .

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The sine is the ratio of the opposing side to the hypotenuse of a right angle triangle. The cosine is the ratio of the neighbouring side to the hypotenuse of a right angle triangle. The tangent is the ratio of the opposite side to the adjacent side of a right angle triangle. The cosecant is the multiplicative inverse of sine. Similarly, secant is the multiplicative inverse of cosine. Cotangent is the multiplicative inverse of the tangent. NCERT solutions for Class 10 Maths chapter 8 exercise 8. 2 is a four-question exercise that is short. In this Class 10 Maths chapter 8 exercise 8.2 the ideas connected to Introduction to trigonometry are effectively explained. The following exercises are included along with Class 10 Maths chapter 8 exercise 8.2.

  • Introduction to Trigonometry Exercise 8.1
  • Introduction to Trigonometry Exercise 8.3
  • Introduction to Trigonometry Exercise 8.4

Introduction to Trigonometry class 10 chapter 8 Exercise: 8.2

Q1 Evaluate the following :

Answer:


As we know,
the value of ,


Q1 Evaluate the following :

Answer:

We know the value of

and


According to question,


Q1 Evaluate the following :

Answer:


we know the value of

, and ,

After putting these values



Q1 Evaluate the following :

Answer:

..................(i)
It is known that the values of the given trigonometric functions,

Put all these values in equation (i), we get;

Q1 Evaluate the following :

Answer:

.....................(i)
We know the values of-

By substituting all these values in equation(i), we get;

Q2 Choose the correct option and justify your choice :

Answer:

Put the value of tan 30 in the given question-

The correct option is (A)

Q2 Choose the correct option and justify your choice :

Answer:

The correct option is (D)

We know that
So,

Q2 Choose the correct option and justify your choice :

is true when =

Answer:

The correct option is (A)

We know that
So,

Q2 Choose the correct option and justify your choice :

Answer:

Put the value of

The correct option is (C)

Q3 If and find

Answer:

Given that,

So, ..........(i)

therefore, .......(ii)
By solving the equation (i) and (ii) we get;

and

Q4 State whether the following are true or false. Justify your answer.


The value of increases as increases.
The value of increases as increases.
for all values of .
is not defined for

Answer:

(i) False,
Let A = B =
Then,


(ii) True,
Take
whent
= 0 then zero(0),
= 30 then value of is 1/2 = 0.5
= 45 then value of is 0.707


(iii) False,


(iv) False,
Let = 0

(v) True,
(not defined)

More About NCERT Solutions for Class 10 Maths Exercise 8.2:

The link between the trigonometric ratios was also covered in the NCERT solutions for Class 10 Maths exercise 8.2. The Trigonometric ratios of particular specific angles were the focus of NCERT book exercise 8.2 Class 10 Maths. The Trigonometric ratios of some specific angles are the ratios of the sides of a right-angle triangle with regard to any of its acute angles. The trigonometric ratios of some specific angles are 0°, 30°, 45°, 60° and 90°. The following table lists the six trigonometric ratios for angles 0°, 30°, 45°, 60° and 90°.

Sin A

0

1

Cos A

1


0

Tan A

0

1

Not defined

Cosec A

Not defined

2

1

Sec A

1

2

Not defined

Cot A

Not defined

1

0

Usage of Pythagoras theorem is also covered in Exercise 8.2 Class 10 Maths.

Also Read| Introduction to Trigonometry Class 10 Notes

Benefits of NCERT Solutions for Class 10 Maths Exercise 8.2:

• NCERT solutions for Class 10 Maths exercise 8.2 can be used in astronomy to measure the distance to nearby stars as well as in satellite navigation systems.

• Exercise 8.2 Class 10 Maths, is also used in the calculation of lengths, areas, and relative angles between objects.

• NCERT solution for Class 10 Maths chapter 8 exercise 8.2 will help students attain a good score in term exams and help in further higher studies.

Also, see-

  • NCERT Exemplar Solutions Class 10 Maths Chapter 8
  • NCERT Solutions for Class 10 Maths Chapter 8

NCERT Solutions Subject Wise

  • NCERT Solutions Class 10 Science
  • NCERT Solutions for Class 10 Maths

Subject Wise NCERT Exemplar Solutions

  • NCERT Exemplar Class 10 Maths
  • NCERT Exemplar Class 10 Science