1) Write a function named fact to calculate the factorial of a number. 2)The inf
ID: 3553541 • Letter: 1
Question
1)Write a function named fact to calculate the factorial of a number.
2)The infinite Maclaurin series to calculate the sine of an angle in radians is:
(sin(x) = x-x^{3}/3! + x^{5}/5!+x^{7}/7!+x^{9}/9!- . ....)
Write a function, named sine, to calculate the sine of an angle using the above Maclaurin series. Use your fact function from problem 1 in your sine function. Iterate the terms until the difference between the previous term and the current term is less than 10-5. Write a program that asks for an angle to be input, passes that angle to the sine function, and displays the result to five decimal places as:
The sine of ____ is ______.
If 0.3 is entered as the angle, the result would be:
The sine of 0.30000 is 0.29552.
*Full all points please answer both question, please, and Thank You!
Explanation / Answer
One way of testing if an input value is to test whether it's equal to its floor function, floor(x).
Here's my function:
function [y] = fact(x)
y = 1;
if x < 0
y = 'Input must not be negative!';
elseif x ~= floor(x)
y = 'Input must be an integer!';
elseif x == 0
y = 1;
else
for i = 1: x
y = i*y;
end
end
return
2)
The trigonometric function sin(x) can be approximated by the infinite series sin(x) = x^1/1!
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