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Trigonometry Board Questions - Part -2 Video Lecture - Class 10
FAQs on Trigonometry Board Questions - Part -2 Video Lecture - Class 10
| 1. What are the basic trigonometric ratios? |  |
Ans. The basic trigonometric ratios are sine, cosine, and tangent. Sine (sin) is the ratio of the length of the side opposite the angle to the hypotenuse. Cosine (cos) is the ratio of the length of the side adjacent to the angle to the hypotenuse. Tangent (tan) is the ratio of the length of the side opposite the angle to the side adjacent to the angle.
| 2. How are trigonometric ratios used to find missing angles and sides in a right triangle? | |
Ans. Trigonometric ratios can be used to find missing angles and sides in a right triangle by using the given information. If we know the length of one side and the measure of one angle, we can use the trigonometric ratios to find the missing side or angle. For example, if we know the length of the side adjacent to an angle and the measure of that angle, we can use the cosine ratio to find the length of the hypotenuse or the length of the side opposite the angle.
| 3. What is the Pythagorean theorem and how is it related to trigonometry? | |
Ans. The Pythagorean theorem states that in a right 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 because it helps us find the lengths of the sides in a right triangle. By using the Pythagorean theorem, we can determine the hypotenuse or the other two sides, which are essential for calculating the trigonometric ratios.
| 4. How do we find the value of trigonometric ratios for special angles? | |
Ans. Trigonometric ratios for special angles (0°, 30°, 45°, 60°, 90°) can be determined using the values of ratios for these angles. For example, the sine ratio for 30° is 1/2, cosine ratio is √3/2, and tangent ratio is 1/√3. These values are derived from the ratios of the sides in a right triangle with special angles. Memorizing these ratios helps in quickly calculating trigonometric values for these angles.
| 5. How are trigonometric ratios used in real-life applications? | |
Ans. Trigonometric ratios are used in various real-life applications such as navigation, engineering, architecture, and physics. For example, in navigation, trigonometry helps determine the distance and direction between two points. In engineering and architecture, trigonometry is used in designing structures and calculating angles and distances. Trigonometry is also used in physics to analyze the motion of objects and study waves and vibrations.
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Nov 17, 2024 Last updated |
Trigonometry Board Questions - Part -2 for Class 102024 is part of Class 10 preparation. The notes and questions for Trigonometry Board Questions - Part -2
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