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04 - Trigonometry Problem Solving_2 - Class 10 - Maths Video Lecture

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FAQs on 04 - Trigonometry Problem Solving_2 - Class 10 - Maths Video Lecture

1. What is trigonometry?
Ans. Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It involves the study of trigonometric functions such as sine, cosine, and tangent, and their applications in various fields such as engineering, physics, and navigation.
2. How can trigonometry be applied in real-life situations?
Ans. Trigonometry has various real-life applications. It is used in navigation to determine the direction and distance between two points. It is used in architecture and engineering to calculate the dimensions and angles of structures. Trigonometry is also used in physics to analyze the motion of objects, such as projectiles. Additionally, it is used in astronomy to calculate the distances and sizes of celestial bodies.
3. What are the basic trigonometric ratios?
Ans. The basic trigonometric ratios are sine, cosine, and tangent. These ratios are defined as follows: - Sine (sin) is the ratio of the length of the side opposite the angle to the length of the hypotenuse. - Cosine (cos) is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. - Tangent (tan) is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
4. How can trigonometry help in solving triangles?
Ans. Trigonometry can help solve triangles by using the properties of trigonometric functions and ratios. By knowing the measures of at least three sides or angles of a triangle, we can apply trigonometric formulas to find the unknown values. These formulas include the sine rule, cosine rule, and tangent rule, which provide relationships between the sides and angles of a triangle.
5. What are the practical uses of trigonometry in surveying?
Ans. Trigonometry is extensively used in surveying to measure and map land areas. It helps in determining distances, angles, and elevations between different points on the ground. Trigonometric functions are used to calculate the heights of buildings, the lengths of roads, and the angles of inclinations for constructing structures. Surveyors rely on trigonometry to ensure accurate measurements and precise mapping of geographic locations.
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