SOLUTION: cosx = x/2 Is it possible to evaluate the above with proper mathematical solution? If yes, show workings. Thanx in advance.

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Question 1091702: cosx = x/2
Is it possible to evaluate the above with proper mathematical solution?
If yes, show workings.
Thanx in advance.
Found 2 solutions by Edwin McCravy, math_helper:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
On the left side, the variable x appears as part of a trigonometric
function, the cosine.  But on the right side, the variable x does NOT
appear as part of a trigonometric function.

When an equation is such that the variable x appears 
both within a trigonometric function and also outside 
a trigonometric function, there is no way to solve the
equation using algebra or special angles.  All we can do
is approximate the answer using a graphing calculator.
This is beyond the limits of ordinary algebra and 
trigonometry.

The approximate answer is x = 1.0298665 radians, (not degrees),
but it is only possible to get such approximate answers when
the variable appears as part of a trigonometric function and
also NOT as part of a trigonometric function using technology,
such as a TI-83 or TI-84, or some computer application.  It
can also be done by trial and error, but not algebra.

Edwin
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
I agree with the other tutor. Just want to add that sometimes plotting the function helps you get a quick estimate of the solution. To do that, you'd write , then plot f(x) and see where f(x) = 0:
—

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Zooming in on the region near x=1:
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