20 162 points LarPreCalcRMRPAlt6 64054 My Notes Find the exa

20. +-/1.62 points LarPreCalcRMRPAlt6 6.4.054 My Notes Find the exact value of the trigonometric expression given that sin u =--and cos v =--. (Both u and v are in 25 29 Quadrant III.) tan(u v) 21.+-11.56 points LarPreCalcRMRPAlt6 6.1.012. My Notes Use the given values to evaluate (if possible) all six trigonometric functions. (If an answer is undefined, enter UNDEFINED.) vs 5 cot =-2, sin = cos = tan = csc = sec

Solution

sin u=-24/25=opposite/hypotenuse

adjacent= sqrt(625-576)=7

tan u= opposite/adjacent= 24/7

cos v =-20/29

opposite= sqrt(841-400)= 21

tan v=21/20

tan(u+v)= (tan u +tan v)/(1-tan u tan v)

=(24/7 +21/20)/(1-(24/7)(21/20))= (627/140)/(-364/140)

=-(627/364)