FAQs on Maths Introduction to Trigonometry part 1 (Introduction) CBSE class 10 Mathematics X

Question 1

1. What is trigonometry and why is it important in mathematics?

Accepted Answer

Ans. Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It is important in mathematics because it helps in solving problems related to distances, heights, and angles, which are often encountered in various fields such as physics, engineering, and architecture.

Question 2

2. What are the basic trigonometric ratios?

Accepted Answer

Ans. The basic trigonometric ratios are sine (sin), cosine (cos), and tangent (tan). These ratios are defined as follows:- Sine (sin): The ratio of the length of the side opposite to an angle to the length of the hypotenuse.- Cosine (cos): The ratio of the length of the adjacent side to the length of the hypotenuse.- Tangent (tan): The ratio of the length of the side opposite to an angle to the length of the adjacent side.

Question 3

3. How are trigonometric ratios used to find missing side lengths or angles in a right triangle?

Accepted Answer

Ans. Trigonometric ratios can be used to find missing side lengths or angles in a right triangle through the following steps:1. Identify the known side lengths and angles in the triangle.2. Choose an appropriate trigonometric ratio based on the given information.3. Set up the equation using the chosen trigonometric ratio.4. Solve the equation to find the unknown side length or angle.

Question 4

4. What is the unit circle and how is it related to trigonometry?

Accepted Answer

Ans. The unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane. It is related to trigonometry because it helps in understanding the trigonometric functions for any angle, not just those within a right triangle. The coordinates of points on the unit circle correspond to the values of sine and cosine of the angles in standard position.

Question 5

5. What are the applications of trigonometry in real life?

Accepted Answer

Ans. Trigonometry has various applications in real life, including:- Navigation: Trigonometry is used in navigation to calculate distances and directions.- Architecture: Trigonometry helps architects in designing structures and calculating angles for stability.- Engineering: Trigonometry is used in engineering for tasks such as designing bridges, calculating forces, and determining the height of structures.- Astronomy: Trigonometry is used in astronomy to calculate distances between celestial bodies and to understand their movements.- Physics: Trigonometry is used in physics to analyze motion, vibrations, and waves.

Maths Introduction to Trigonometry part 1 (Introduction) CBSE class 10

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