Question

In: Computer Science

Using Matlab, Write a script that validates the relationship between sin u, cos u, and tan...

Using Matlab, Write a script that validates the relationship between sin u, cos u, and tan u by evaluating these functions at suitably chosen values. Please screenshot Matlab screen. Thank you!

Solutions

Expert Solution


clear;
clc;

% according to trignometric angles formula,
% tan(ϑ) = sin(ϑ)/cos(ϑ)
% to check whether both have accuracy,
% we can know presicion of angles we have to 
% find the difference
% sin(ϑ)/cos(ϑ) - tan(ϑ)
% majority of values have high presicion.
% values are approximate untill e^-16
angle = 0;
presicion = sin(angle)./cos(angle) - tan(angle)
angle = pi./2;
presicion = sin(angle)./cos(angle) - tan(angle)
angle = pi;
presicion = sin(angle)./cos(angle) - tan(angle)
angle = 3*pi./2;
presicion = sin(angle)./cos(angle) - tan(angle)
angle = 2*pi;
presicion = sin(angle)./cos(angle) - tan(angle)



angle = 2.*pi./3;
presicion = sin(angle)./cos(angle) - tan(angle)
angle = 5.*pi./3;
presicion = sin(angle)./cos(angle) - tan(angle)

Code

Output


Related Solutions

Given the parametrized curve r(u) = a cos u(1 − cos u)ˆi + a sin u(1...
Given the parametrized curve r(u) = a cos u(1 − cos u)ˆi + a sin u(1 − cos u)ˆj, u ∈ [0, 2π [ , (with a being a constant) i) Sketch the curve (e.g. by constructing a table of values or some other method) ii) Find the tangent vector r 0 (u). What is the tangent vector at u = 0? And at u = 2π? Explain your result. iii) Is the curve regularly parametrized? Motivate your answer using...
Write a matlab code for given task Use your ‘sin’ or ‘cos’ function to generate a...
Write a matlab code for given task Use your ‘sin’ or ‘cos’ function to generate a sinusoid wave having two components as f1 = 3kHz and f2 = 5kHz and then sample it with fs = 10kHz. Calculate its fft with zero frequency component in the middle. Plot it on a properly scaled w-axis. Specify if there is aliasing or not? If there is aliasing specify which component is casing the aliasing
If u(t) = < sin(8t), cos(4t), t > and v(t) = < t, cos(4t), sin(8t) >,...
If u(t) = < sin(8t), cos(4t), t > and v(t) = < t, cos(4t), sin(8t) >, use the formula below to find the given derivative. d/(dt)[u(t)* v(t)] = u'(t)* v(t) + u(t)*  v'(t) d/(dt)[u(t) x v(t)] = <.______ , _________ , _______>
If u(t) = < sin(5t), cos(5t), t > and v(t) = < t, cos(5t), sin(5t) >,...
If u(t) = < sin(5t), cos(5t), t > and v(t) = < t, cos(5t), sin(5t) >, use the formula below to find the given derivative. d/dt[ u(t) * v(t)] = u'(t) * v(t) + u(t)* v'(t) d/dt [ u(t) x v(t)] = ?
Write as a MatLab script For X=-2π~2π with intervals of π/100. a. Plot Y1=sin(X) as a...
Write as a MatLab script For X=-2π~2π with intervals of π/100. a. Plot Y1=sin(X) as a red line. Add a grid. b. Plot Y2=cos(X) as a black dotted line. Add a grid. c. Plot Y1 and Y2 in the same plot without using the hold on/off command. d. For Y3= Y1 times Y2, plot Y1, Y2 and Y3 in the same graph. Y3 will be green line. Add title, axis label and a legend.
Using MATLAB or Octave, Write a script that prompts the user for the coordinates of three...
Using MATLAB or Octave, Write a script that prompts the user for the coordinates of three points A, B, and C, namely (xA, yA), (xB, yB), (xC, yC), forming a triangle, storing each in a variable (for a total of 6 variables). The script should then calculate the centroid G = (xG, yG) using xG = xA+xB+xC 3 and yG = yA+yB+yC 3 , storing each in a variable. Finally, the script should print all four points. Sample output: Enter...
Using MATLAB or Octave, Write a script that prompts the user for a multiplier, storing it...
Using MATLAB or Octave, Write a script that prompts the user for a multiplier, storing it in the variable fMultiplier. The script should them prompt the user for a number, storing it in the variabl fIn. The script should then calculate the product of these two variables, saving the result to another variable fOut, and printing it. The script should then repeat the prompt for fIn, calculation, and output twice more, using the same variable fIn and fOut all three...
Using MATLAB or Octave, Write a script that prompts the user for a minimum and maximum...
Using MATLAB or Octave, Write a script that prompts the user for a minimum and maximum real number, then generates and prints a random number in the requested range. The script should then do the same for an integer range. Sample output: Enter a minimum real value: 0.5 Enter a maximum real value: 30 A random number in the range ( 0.5000, 30.0000 ) is 1.7851 Enter a minimum integer value: -10 Enter a maximum integer value: 20 A random...
MATLAB: Write as a script in the editor window of matlab. Quadratic roots. Write a program,...
MATLAB: Write as a script in the editor window of matlab. Quadratic roots. Write a program, quadroots.m, for finding the roots of the second- order polynomial ax2 + bx + c. Use the quadratic equation. The inputs are the coefficients a,b, and c and the outputs are z1 and z2. The program should produce (exactly) the following output in the Command window when run with (a, b, c) = (1, 2, −3):
using matlab Write a script that simulates a card game that works as follows: A dealer...
using matlab Write a script that simulates a card game that works as follows: A dealer places 5 cards face down on the table and flips the first card. The player goes down the line, one at a time, and guesses if the next card is higher or lower than the card displayed, and then the next card is revealed. In the end, the player is awarded a point for each correct guess. In terms of coding, your script should...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT