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Introduction to Trigonometry Video Lecture - Class 10
FAQs on Introduction to Trigonometry Video Lecture - 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 helps in understanding and solving problems related to angles, distances, and heights.
| 2. How is trigonometry used in real life? | |
Ans. Trigonometry has various applications in real life. It is used in navigation, architecture, engineering, physics, astronomy, and even in the study of sound and light waves. For example, it helps in calculating distances between planets, determining the height of buildings, designing bridges, and analyzing the behavior of waves.
| 3. What are the basic trigonometric ratios? | |
Ans. The basic trigonometric ratios are sine, cosine, and tangent. These ratios are defined for any angle in a right-angled triangle. The sine of an angle is the ratio of the length of the opposite side to the hypotenuse, the cosine is the ratio of the length of the adjacent side to the hypotenuse, and the tangent is the ratio of the length of the opposite side to the adjacent side.
| 4. How do you find the values of trigonometric ratios? | |
Ans. The values of trigonometric ratios can be found using a scientific calculator or trigonometric tables. However, for some special angles (like 0°, 30°, 45°, 60°, and 90°), the values of trigonometric ratios are commonly known. For other angles, these ratios can be calculated by using the lengths of the sides of a right-angled triangle.
| 5. What is the Pythagorean theorem and how is it related to trigonometry? | |
Ans. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This theorem is closely related to trigonometry as it allows us to determine the lengths of the sides of a right-angled triangle when we know the values of trigonometric ratios for an angle in that triangle.
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