# Understand sine and cosine values on the unit circle Question If the terminal side of angle tt goes through the point (-(5/13),-(12/13) on the unit circle, then what is cos(t)? Provide your answer below: cos(t)=□

Trigonometric equation and identitie
Understand sine and cosine values on the unit circle Question
If the terminal side of angle tt goes through the point $$\displaystyle{\left(-{\left(\frac{{5}}{{13}}\right)},-{\left(\frac{{12}}{{13}}\right)}\right.}$$ on the unit circle, then what is cos(t)?
Provide your answer below: $$\displaystyle{\cos{{\left({t}\right)}}}=□$$

If the terminal side of angle tt goes through point (x,y)(x,y) on the unit circle, then: $$\displaystyle{\cos{{\left({t}\right)}}}={x}{\quad\text{and}\quad}{\sin{{\left({t}\right)}}}={y}$$
Since $$\displaystyle{x}=-{\left(\frac{{5}}{{13}}\right)}$$, then: $$\displaystyle{\cos{{\left({t}\right)}}}=-{\left(\frac{{5}}{{13}}\right)}$$