number of solutions of equation cosx=x?

Answer 1

For extremely small values of x, cosx=x

Answer 2

Substitute the value if you can: sin 0 = 0 and cos 0 =1 sinx and cosx do not have a limit as x -> inf, so those limits DNE

Answer 3

only one solution draw the graphs of y = cosx and y = x to prove that

Answer 4

Only one solution.You need to draw graphs of both y=cosx and y=x . The point of intersection of both these graphs will give the solution.

Answer 5

Draw the graphs of functions
y=cos (x), y=x on the same plane
Number of points of intersection=Number of solutions

=>Only one solution

Solving analytically will take ages!

Answer 6

There is only one exact solution to cos x = x. That is when x = 42.3464591 degrees (to nine significant figures). This only works if you work in radians, where this angle x = 0.73908513784. In this situation:

0.73908513784 = cos(0.73908513784)

Answer 7

Only 1 solution.
.73908 (in radians)
which is the same as
.99985 (in degrees)

Answer 8

there is no as such way to do that
the only way is that
firstly x lies in(-1,1)
draw y=x (note ; draw on agraph paper)
y=cos x
clearly they have only solution in(-1,1)
now this value is a real value which is non repeatable
& non terminating but close to 0.99
(u can check out from calculator)
thanks & good luck & good question

Answer 9

only one solution

Answer 10

only one solutions i.e.X=
0.9998477415310881129598107686798(degrees) or
0.73908513321516064165531208767387(radians) or
0.99987666291073963586174574244615(grads)