Can our emitted infrared light turn on the TV? We know that TV can be turned on with infrared light and we know that our body emits infrared to. Does the frequency of our emitted infrared corresponds to the frequency of the device that turns on the TV ? 
 A: TV remotes operate in the near infra-red. For example the TSAL5400 is typical of the IR LEDs used in TV remotes and it uses a wavelength of 940 nm.
The peak wavelength of black body radiation is conveniently given by Wien's displacement law:
$$ \lambda = \frac{b}{T} $$
where $b$ is a constant that is about $2900\,\mu$m K. Using this the peak wavelength of the IR emitted by a human body (at about $37$ºC) is about $9350$ nm, which is a factor of ten too large to interfere with the TV remote.
The spectrum of the EM emitted by a human body does extend up to much shorter wavelengths, but the intensity falls rapidly with decreasing wavelength and will be negligible at TV remote wavelengths. In any case the TV remote does not simply shine an IR beam. It modulates the IR at some few tens of kHz and the receiver on the TV filters out any IR light not modulated in this way. Even if we heated you to the point where you were emitting a lot of near infrared (a few hundred degrees C should do it :-) you still wouldn't interfere with the TV remote.
