Mathematics

Problem

For an angle

\theta

located in the third quadrant of the unit circle, answer the following: a. (i) State the signs (positive or negative) of

\sin\theta

and

\cos\theta

. b. (ii) Using the information from part (i), determine the sign of

\tan\theta

and justify your answer. c. (iii) Determine the signs of

\sec\theta,\;\csc\theta

and

\cot\theta

, giving a brief reason for each.