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.
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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.
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tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2
It is cotangent(theta).
Cosine squared theta = 1 + Sine squared theta
It is -sqrt(1 + cot^2 theta)
The letter after Theta is Iota.