QuestionFind the six trigonometric functions of $t$ for the point $\left(-\frac{\sqrt{3}}{5},-\frac{\sqrt{22}}{5}\right)$ on the unit circle.

Studdy Solution
implify the fraction to calculate the value of $\cot(t)$.
$$\cot(t) = \sqrt{\frac{3}{22}}$$So, the six trigonometric functions of $t$ are$$\sin(t) = -\frac{\sqrt{22}}{5}$$$$\cos(t) = -\frac{\sqrt{3}}{5}$$$$\tan(t) = \sqrt{\frac{22}{3}}$$$$\csc(t) = -\frac{5\sqrt{22}}{22}$$$$\sec(t) = -\frac{5\sqrt{3}}{3}$$$$\cot(t) = \sqrt{\frac{3}{22}}$$