Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 36AP

In physics, it is important to use mathematical approximations. (a) Demonstrate that for small angles (< 20°)

tan α sin α α = π α 180 °

where α is in radians and α’ is in degrees. (b) Use a calculator to find the Largest angle for which tan α may be approximated by α with an error less than 10.0%.

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In physics, it is important to use mathematical approximations.(a) Demonstrate that for small angles (< 20°)                        tan a ≈ sin a ≈ a =  (πa')/(180°)where a is in radians and a' is in degrees. (b) Use a calculator to find the largest angle for which tan a may be approximated by a with an error less than 10.0%.
Consider the vectors A = -2î + 5j – and B = 5î - 6j + 7k. Calculate the following quantities. (Give your answers in degrees.) (a) cos-1 A · B AB (b) sin-1 |A x BỊ AB (c) Which give(s) the angle between the vectors? (Select all that apply.) The answer to Part (a). The answer to Part (b).
Evaluate the cross product A×B if A = 39, B = 59 and θ = 43°. Evaluate the cross product C×D if C = 23 and D = 83. The angle between them is a right angle.

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Physics for Scientists and Engineers with Modern Physics

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