When used to indicate angles, "theta" is an unknown (exactly like using "x" for the unknown in equations).
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The half angle formula is: sin theta/2 = ± sqrt (1 - cos theta/2)
A theta is the latin word for a specific symbol used in mathematical equations. The theta means the angle. You use the theta symbol to say "angle". The symbol is useful when you don't know the degree of the angle is. * * * * * Theta is not Latin nor is it a word. It is a letter of the Greek alphabet. It is used to stand for an unknown angle in the same way that the Roman letters x or y are used in algebra.
It is called angle modulation because it changes the angle of the carrier which is exponential, e.g. sin theta = {(e*j theta + e (-j theta)} / 2
I assume. Since theta is a variable, standing for the measure of any angle.
Theta is most often used to represent unknown angles, especially in the study of trigonometry. Theta represents an angle in degrees, but not in radians. --------------------------------------- Theta (θ) is a Greek letter, typically denoting an unknown angle. Depending on the context of the problem, it could be in degrees or radians.