Sine wave in frequency domain on signal analyzer The Fourier Transform of sine wave ($\sin(2 \pi A t)$) is given as : 
$$\frac{1}{2i} [\delta(f-A)-\delta(f+A)]$$

This means that the Fourier Transform of the real function, $\sin(t)$ has an imaginary Fourier Transform (no real part).

How can we observe this Fourier Transform of sine wave on signal analyzer if it is imaginary with an "$i$" in it?

The thing is that I have a very high frequency signal (a few GHz) and so I am not able to see this signal clearly in time domain because the resolution of my signal analyzer is not that good. So I was trying to view it in frequency domain instead of time domain. Right now, in frequency domain I am able to view this signal as a single spike. So, should I conclude that the signal generated is a sine wave?
in frequency domain each spike/impulse represents to a sinusoid in time domain. so if in frequency domain the signal shows a single spike/impulse it means the input signal has a sinusoid in time domain.