Radians and Degrees 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.
|z (in degrees)||0.1||0.01||0.0001|
(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 for z in degrees.
(d) Define the new functions and , where . Find S (90) and C(180). Use the Chain Rule to calculate D, [s (z)].
(e) Explain why calculus is made easier by using radians instead of degrees.
To fill: The blank spaces in the table given below by converting radians to degrees.
The fundamental limit is
Where x is in radians.
The calculator is normally in the radian mode which is converted into the degree mode, and then the value given of z, to get the following complete table
To calculate: The value of for z in degrees.
To calculate: The value of and solve by chain rule.
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