Write an algorithm that can approximate the value of the function sin(1+cos(x)), as long as x is near 1, that only needs to do one multiplication and one addition (Hint: you only need to do one multiplication and one addition to compute the value on a line)
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Write an algorithm that can approximate the value of the function sin(1+cos(x)), as long as x...
Problem1. Write a C program, called cos.approx.c, that computes the approximate value of cos(x) according to its Tavlor series expansion: (-1)"r2n (2n)! x2 x4x6x8x10 cos(x)-Σ 1 This series produces the exact value of cos(x) for any real number x, but contains an infinite number of terms. Obviously, a computer program can compute only a finite number of terms. Thus, you will have to truncate the infinite series in (1). Your program should be able to do so in two different...
We do not have the methods of integrating certain functions, such as 2π 1 sin (x) dr So we will approximate this value. (1) Sketch the graph of y -1 sin( (2) Break up the interval [0, 2T] into 8 pieces (3) Connect the points to form 8 trapezoids. (4) Find the value of the function V1 +sin (x) at each of the 9 points, using a calculator as necessary. (5) Find the area of each trapezoid, add them up....
9. Write the given expression as a sin 2x 1-cos 2x single trigonometric function 10. Solve for x. 2cos'x-cos x 1
9. Write the given expression as a sin 2x 1-cos 2x single trigonometric function 10. Solve for x. 2cos'x-cos x 1
a.) Write a C++ program that calculates the value of the series
sin x and cos x, sin 2x or cos 2x where the user enters the value
of x (in degrees) and n the number of terms in the series. For
example, if n= 5, the program should calculate the sum of 5 terms
in the series for a given values of x. The program should use
switch statements to determine the choice sin x AND cos x, sin...
1) Write a script that plots sin(x), cos(x), tan(x) for x between 0 and 360◦ (or 2π radians) on one graph, adjusts the y axis to range between −10 and +10, and includes a legend identifying each line. 2)Write a Matlab function that sums up a specified number of odd-power terms from the Maclaurin series of sin(x) For example, if you use the function you wrote to sum the first 10 terms for x = 1, you should get 1...
Use an addition or subtraction formula to write cos 41° cos 44º – sin 41 ºsin 44 as a trigonometric function of one number. You must enter your answer as a degree converted to radians. In otherwords, if your answer is sin(2°), then you must enter sin(2*pi/180)
In MATLAB
The value of cos(x) can be approximated using a Maclaurin series + +... cos(x)=1-1 2! 4! 6! Which can be expressed compactly as cos(x) = {(-1)+7 (2(k-1))! 00 2(k-1) k-1 Write Matlab code using a while loop that calculates cos(2) with 5 terms of Maclaurin series. Compare the value with the one calculated with a built-in function cos (2) in Matlab. The following is an expected output from your code: Using the Maclaurin series cos( 2.0) with 5...
(1 point) Simplify each expression. sin(x) + sin(-2) = sin(20) sin(-x) + cos(-2) cos(x) cos(x) + cos(-x) = Note: You can earn partial credit on this problem. Entered Answer Preview
Write VBA functions to calculate sin (x) using the Maclaurin arcsine series, and compare the values for sin-1(x) from your program to those given by the Excel spreadsheet function ASIN(x). The Maclaurin arcsine expansion is given by x 3x 6 40 (2n)! sin1(x)-2((2n+1) Note: This function by definition is only defined for-1 SxS1. When you write the code for calculating it, you will need to include code that assigns a value to it that reflects it is undefined for values...
11. -1 points SAlgTrig4 7 1037 Verify the identity. sin(x) cos(-x) -sin x -cos x This answer has not been graded yet. Need Help? Rea I 12. O1 points SAgTrig4 7.1.040 Verify the identity. (sin(x) + cos(x))1 +2 cos(x) sin(x) This answer has not been graded yet Need Help? 16.0/1 points SAlgTrig4 7 1.063 Verify the identity csc(x) + sec(x) = cos(x) + sin(x) cot(x) + tan(x) .This answer has not been graded yet Need Help? Red 19. -1 points...