Given that angle theta is in standard position with terminal arm in the third quadrant and cos theta = − 3/5 , determine the value of cos theta + sin theta + tan theta.

Answer 1

cosT =-3/5 in 3rd quadrant

sinT =4/5

tanT =-4/3

cosT + sinT + tanT = -3/5 + 4/5 -4/3 = 1/5 -4/3 = 3/15-20/15 = -17/15

cosT+sinT+tanT =-.6+.8 -1.333... = -1.1333.... = -17/15