Step 1: Given the following Taylor series expansions for cosine and sine, create a program (using for loop) to determine tan(x) , where x is value from 0

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Step 1: Given the following Taylor series expansions for cosine and sine, create a program
(using for loop) to determine tan(x) , where x is value from 0<x<pi/2
x2
cos x = 1
2!
(-1)*x2k
4!
(2k)!
k=0
x3
sin x = x -
(-1)*x2k+1
(2k + 1)!
x5
3! ' 5!
k=0
Step 2: Using a while-loop to plot the path of each point from 0 to pi/2 and pi/2 to 0,
Where x is the value of degrees, and the y values equals tan(x), with a stop time of 0.1
second (use the pause(0.1) function) between each point. Repeat this process until the
plot of the circulates back and forth at least 3 times.
Step 3: Convert this entire program into a function that takes at least two inputs .
II
+
Transcribed Image Text:Step 1: Given the following Taylor series expansions for cosine and sine, create a program (using for loop) to determine tan(x) , where x is value from 0<x<pi/2 x2 cos x = 1 2! (-1)*x2k 4! (2k)! k=0 x3 sin x = x - (-1)*x2k+1 (2k + 1)! x5 3! ' 5! k=0 Step 2: Using a while-loop to plot the path of each point from 0 to pi/2 and pi/2 to 0, Where x is the value of degrees, and the y values equals tan(x), with a stop time of 0.1 second (use the pause(0.1) function) between each point. Repeat this process until the plot of the circulates back and forth at least 3 times. Step 3: Convert this entire program into a function that takes at least two inputs . II +
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