Given that:
sec x+tan x=22/7.
Determine the value of:
csc x + cot x
% x = linspace(0,70);
% y1 = secd(x)+tand(x);
% y2 =y1/(22/7);
%
% figure
% plot(x,y1 )
%
% grid on
% hold on
%
% plot(x,y2 )
% axis equal
% grid on
x=54.69975156014;
(secd(x)+tand(x))/(22/7)
cscd(x)+cotd(x)
sym(19/10+1/30)
eval(ans)
The commented out part was used to find an estimate and the value of x was adjusted to find the answer.
The output for the given x=54.69975156014;
ans =
1.00000000000001 ratio of first formula to 22/7
ans =
1.93333333333332 value of second formula
ans =
29/15 apparent answer
ans =
1.93333333333333 value of apparent answer for comparison
Answer is 29/15.
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Posted by Charlie
on 2023-10-27 08:39:51 |
computer answer
