Small angle approximation class 11 Physics || Value of sin(x) for small angles скачать в хорошем качестве

Small angle approximation class 11 Physics || Value of sin(x) for small angles

Welcome to our channel! In this video, we will be discussing the small angle approximation, which is a useful technique for estimating the value of trigonometric functions when the angle is very small. The small angle approximation states that for very small angles, the sine, cosine, and tangent functions can be approximated by the angle itself. This means that for a small angle x, we can approximate sin(x) as x, cos(x) as 1, and tan(x) as x where x must be in radians To use the small angle approximation, we first need to determine whether the angle is small enough to use the approximation. As a general rule, angles smaller than about 5 degrees are considered small enough to use the approximation. To apply the small angle approximation, we simply substitute the angle for the trigonometric function. For example, if we want to approximate sin(2 degrees), we can use the approximation sin(2 degrees)=sin(pi*2/180) ≈ pi/90. Similarly, if we want to approximate cos(3 degrees), we can use the approximation cos(3 degrees) ≈ 1. The small angle approximation is a useful tool for making rough estimates and for simplifying complex expressions. However, it is not always accurate, and the error increases as the angle gets larger. Therefore, it is important to use the small angle approximation with caution and to be aware of its limitations. Thank you for watching! We hope you found this video helpful and have a better understanding of the small angle approximation. Don't forget to like and subscribe for more math content. PRISMA INSTITUTE INDIA 9th,10th Maths Science (CBSE) 11th, 12th Maths (CBSE +JEE Mains and Advanced) Email us at prismainstituteindia@gmail.com Follow on Instagram for formula Revision   / prismainsti   Follow us on Facebook feed your science curiosity   / prismainsti   LIKE SHARE SUBSCRIBE DM on Instagram or mail us at prismainstituteindia@gmail.com Link to the Playlist "Mathematics Required for Physics"    • Mathematics required for Physics in Class ...