Class 10 Exam > Class 10 Videos > 02 - Trigonometric Ratios Of Complementary Angles - Class 10 - Maths
02 - Trigonometric Ratios Of Complementary Angles - Class 10 - Maths Video Lecture
FAQs on 02 - Trigonometric Ratios Of Complementary Angles - Class 10 - Maths Video Lecture
| 1. What are complementary angles in trigonometry? |  |
Ans. Complementary angles are two angles whose sum is equal to 90 degrees. In trigonometry, complementary angles play an important role in determining the trigonometric ratios of angles.
| 2. How do you find the trigonometric ratios of complementary angles? | |
Ans. To find the trigonometric ratios of complementary angles, we can use the relationship between the trigonometric ratios of an angle and its complementary angle. For example, if the trigonometric ratio of an angle is sin θ, then the trigonometric ratio of its complementary angle will be cos θ.
| 3. Can you give an example of finding the trigonometric ratios of complementary angles? | |
Ans. Sure! Let's consider an angle θ whose sine ratio is 0.6. To find the cosine ratio of its complementary angle, we subtract the sine ratio from 1. Therefore, cos (90° - θ) = 1 - sin θ = 1 - 0.6 = 0.4.
| 4. How are complementary angles used in solving trigonometric problems? | |
Ans. Complementary angles are often used to simplify trigonometric expressions and solve trigonometric problems. By using the relationship between the trigonometric ratios of an angle and its complementary angle, we can substitute one ratio with its corresponding ratio of the complementary angle to simplify the problem.
| 5. Are there any special properties of complementary angles in trigonometry? | |
Ans. Yes, there are special properties of complementary angles in trigonometry. One important property is that the product of the sine ratio and the cosine ratio of complementary angles is always equal to each other. In other words, sin θ × cos (90° - θ) = cos θ × sin (90° - θ) = sin θ × sin (90° - θ) = cos θ × cos (90° - θ).
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Dec 23, 2024 Last updated |
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