Warning: Explicit solution could not be found. What am i doing wrong?

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Murat
Murat 2012-4-17
I only have one variable and and one equation and i am very new to Matlab.
the code is
syms t
>> solve(((t/5 - 2*cos(2*t))^2 + (4*sin(4*t) - 1)^2)^(1/2)=0)
Warning: Explicit solution could not be found.
> In solve at 83
ans =
[ empty sym ]

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Walter Roberson
Walter Roberson 2012-4-17
The "=0" part should have given you a syntax error. Leave that out.
But besides that, most computer algebraic systems have trouble finding analytic solutions to trig problems.
It isn't difficult, with a bit of graphing, to establish that there are no real roots for that expression. How many imaginary roots would you like to get? Using a different package, I have found 26 imaginary roots numerically; there is no obvious pattern to them.

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