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Trigonometric Ratios- 2 Video Lecture - Class 10
FAQs on Trigonometric Ratios- 2 Video Lecture - Class 10
| 1. What are trigonometric ratios? |  |
Ans. Trigonometric ratios are mathematical functions that relate the angles of a right triangle with the ratios of its sides. The three main trigonometric ratios are sine (sin), cosine (cos), and tangent (tan), which are defined as follows:
- Sine (sin): The ratio of the length of the side opposite the 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 the angle to the length of the adjacent side.
| 2. How do you find the values of trigonometric ratios? | |
Ans. To find the values of trigonometric ratios, you can use a scientific calculator or trigonometric tables. By inputting the angle measure in degrees or radians, the calculator or table will give you the corresponding values of sine, cosine, and tangent. Alternatively, you can use the definitions of trigonometric ratios mentioned above to manually calculate the values using the lengths of the sides of a right triangle.
| 3. What is the relationship between trigonometric ratios and right triangles? | |
Ans. Trigonometric ratios are closely related to right triangles. In a right triangle, one of the angles is 90 degrees (a right angle), and the other two angles are acute angles. The trigonometric ratios are defined based on the ratios of the sides of the right triangle corresponding to these acute angles. By knowing the lengths of the sides of a right triangle, you can determine the values of the trigonometric ratios for the given angles.
| 4. How are trigonometric ratios used in real-world applications? | |
Ans. Trigonometric ratios have various applications in real-world scenarios. They are commonly used in navigation, engineering, physics, and architecture. For example, trigonometric ratios can be used to calculate the height of a building or the distance between two points by measuring angles and distances. They are also utilized in fields such as surveying, astronomy, and even in computer graphics for creating realistic 3D images.
| 5. Can trigonometric ratios be used for non-right triangles? | |
Ans. Trigonometric ratios are primarily defined for right triangles. However, they can also be extended to non-right triangles using the concept of the unit circle or the law of sines and cosines. The unit circle allows us to calculate trigonometric ratios for any angle, not just those in right triangles. The law of sines and cosines can be used to find the relationships between the angles and sides of non-right triangles, enabling the use of trigonometric ratios in their calculations.
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