NCERT Solutions for Class 10 Maths chapter 8 Exercise 8.1 Introduction to Trigonometry - PDF

NCERT solutions for class 10 maths chapter 8 ex 8.1 Trigonometry is primarily focused on enhancing the knowledge of the six trigonometric ratios. This exercise has been structured in a variety of ways to provide students with a comprehensive understanding of the topic. Some of these questions are easy, as they provide the dimensions of the right triangle sides and require students to identify the desired ratios. The other type of question requires you to figure out how to measure a trigonometric function with some parameters. And finally, there are problems based on how you can verify trigonometric functions.

There are a total of 11 questions in the NCERT solutions class 10 maths chapter 8 ex 8.1 that range from easy to medium level. In order to solve the problems effectively, students need to be familiar with the trigonometric ratios formulas.

Our maths subject experts have solved NCERT solutions in PDF format, which are accompanied by appropriate geometrical figures and explain everything in a proper order. The solutions can be downloaded free with ease from eSaral.

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Topics Covered in Exercise 8.1 Class 10 Mathematics Questions

NCERT solutions class 10 maths chapter 8 ex 8.1 covers trigonometric ratios and their applications. Here, you can find the topic provided in the table below.

1. Trigonometric Ratios - Trigonometry refers to the study of right angle triangles, or more precisely, the relationship between angles and sides of the right angled triangle. Hypotenuse, adjacent , and opposite are the three components of a triangle. The ratio between these sides based on the angle between them is called Trigonometric Ratio.

Important Points

1. The side opposite the right angle is called the hypotenuse.
2. The side opposite to an angle is called the opposite side.
3. The side adjacent to an angle is called the adjacent side.

There are 6 fundamental trigonometric relations that make up trigonometry. Basically, these 6 fundamental trigonometrics are the ratios of all the possible combinations of right-angled triangles.

The trigonometric ratios referred to are:

1. Sine
2. Cosine
3. Tangent
4. Cosecant
5. Secant
6. Cotangent

In a right triangle ABC, right-angled at B

1. Sin A = side opposite to angle A/hypotenuse
2. Cos A = side adjacent to angle A/hypotenuse
3. tan A = side opposite to angle A/side adjacent to angle A
4. Cosec A = 1/sinA
5. Sec A = 1/cos A 
6. tan A = 1/cot A, tan A = sin A/cos A

Tips for Solving Exercise 8.1 Class 10 chapter 8 Introduction to Trigonometry

NCERT Solutions for class 10 maths exercise 8.1 addressed the relationship between trigonometric ratios. Here are some important tips provided by our subject experts on how to solve ex 8.1 questions.

1. NCERT solutions class 10 maths chapter 8 ex 8.1 is about finding and using the correct formula, which is why a formula chart is useful for students.
2. Students need to be able to look at a question and compare it to the correct formula. The easiest way to do this is to look at the derived formulas and remember the values of sin, cos and tan in relation to a right triangle.
3. Exercise 8.1 of NCERT solutions class 10 maths chapter 8, Introducing Trigonometry, uses the following additional values like cosec, sec, cot. These three ratios are, as you can see, simply the reciprocal of the other three major trigonometric ratios.

Importance of Solving Ex 8.1 Class 10 Maths chapter 8 Introduction to Trigonometry

Here are some advantages of using NCERT solutions class 10 maths ex 8.1 chapter 8.

1. Trigonometric ratios are used in exercise 8.1 of Maths Class 10 to find the missing side or angles of a right-angled triangle.
2. NCERT solution class 10 maths chapter 8 ex 8.1, you can easily solve any type of trigonometric questions by figuring out the derivatives of these formulas.
3. Our experts have ensured that the NCERT solutions for class 10 maths ex 8.1 are easy to understand.
4. The solutions are written in a clear language to be easier for students to comprehend.
   This exercise sits inside a bigger structure — the NCERT solutions for class 10 Maths page shows exactly where it fits among the other chapters.

Frequently Asked Questions

Question 1. Write down the main three trigonometric ratios?

Answer 1. Sine, cosine, and tangent are the three main ratios of trigonometry.

Question 2. What formulas do you need to know to figure out the trigonometric ratio of the angles?

Answer 2. Let's say we have a right triangle with an acute angle of A.

1. sin A = Side opposite to angle A / Hypotenuse
2. cos A = Side adjacent to angle A / Hypotenuse
3. tan A = Side opposite to angle A / Side adjacent to angle A
4. cosec A = Hypotenuse / Side opposite to angle A
5. sec A = Hypotenuse / Side adjacent to angle A
6. cot A = Side adjacent to angle A / Side opposite to angle A 

These are the formulas you need to use to figure out the trigonometric ratios of the angles.