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Introduction to Trigonometry (Exercise 8.1) RD Sharma Solutions - Mathematics (Maths) Class 10

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FAQs on Introduction to Trigonometry (Exercise 8.1) RD Sharma Solutions - Mathematics (Maths) Class 10

1. What is trigonometry?
Ans. Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It studies the properties and functions of angles, as well as the trigonometric ratios such as sine, cosine, and tangent.
2. How is trigonometry used in real life?
Ans. Trigonometry is used in various fields such as engineering, physics, architecture, and navigation. It helps in calculating distances, heights, and angles, which are crucial in designing buildings, bridges, and roads. It is also used in astronomy to determine the positions and movements of celestial bodies.
3. What are the basic trigonometric ratios?
Ans. The basic trigonometric ratios are sine, cosine, and tangent. They are defined as follows: - Sine (sin): The ratio of the length of the side opposite the angle to the hypotenuse. - Cosine (cos): The ratio of the length of the side adjacent to the angle to the hypotenuse. - Tangent (tan): The ratio of the sine to the cosine, i.e., sin/cos.
4. How do we solve trigonometric equations?
Ans. To solve trigonometric equations, we use the properties and identities of trigonometric functions. We simplify the equation using trigonometric ratios and then apply algebraic methods to solve for the unknown angles or variables. It is important to be familiar with the trigonometric identities and formulas to effectively solve these equations.
5. What is the unit circle in trigonometry?
Ans. The unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane. In trigonometry, it is used to define the values of trigonometric functions for all angles. Each point on the unit circle corresponds to a unique angle, and the coordinates of the point represent the values of sine and cosine for that angle. The unit circle is a fundamental tool in trigonometric calculations and visualizations.
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