The fundamental limit assumes that x is measured in radians. Suppose you assume that x is measured
Question:
The fundamental limit
assumes that x is measured in radians. Suppose you assume that x is measured in degrees instead of radians.
(a) Set your calculator to degree mode and complete the table.
(b) Use the table to estimate
for z in degrees. What is the exact value of this limit?
(c) Use the limit definition of the derivative to find d/dz[sin z] for z in degrees.
(d) Define the new functions S(z) = sin cz and C(z) = cos cz where c = π/180. Find S(90) and C(180). Use the Chain Rule to calculate d/dz[S(z)].
(e) Explain why calculus is made easier by using radians instead of degrees.
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a Setting the calculator to degree mode we can complete the table as follows z in degrees sin zz 01 ...View the full answer
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Related Book For 
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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