QuestionGiven $\cos (\alpha)=-\frac{3}{5}$ in quadrant III, find all 6 trig functions and round decimals to three places.

Studdy Solution
Calculate the value of $\csc(\alpha)$.
$$\csc(\alpha) = -\frac{5}{4}$$So, the six trigonometric function values for $\alpha$ are$$\sin (\alpha)=-\frac{4}{5}$$$$\cos (\alpha)=-\frac{3}{5}$$$$\tan (\alpha)=\frac{4}{3}$$$$\cot (\alpha)=\frac{3}{4}$$$$\sec (\alpha)=-\frac{5}{3}$$$$\csc (\alpha)=-\frac{5}{4}$$