In this problem you need to get everything right to get cred

In this problem you need to get everything right to get credit. The idea is that you go over everything an think about the whole context. Use the preceding problem as a guide.
Suppose

Solution

sinu=12/13

cosu=-(13²-12²) /13

cosu=-(169-144) /13

cosu=-25 /13

cosu=-5/13

tanu =sinu/cosu=(12/13)/(-5/13)=-12/5

sin(-u)=-sinu=-12/13

cos(-u)=cosu=-5/13

sin(u+pi)=sinucospi+cosusinpi=-sinu=-12/13

cos(u+pi)=cosucospi-sinusinpi=(-5/13)(-1) -(12/13)(0) =5/13

tan(u+pi)=sin(u+pi)/cos(u+pi) =(-12/13)/(5/13)=-12/5

sin(u+(pi/2))=sinucos(pi/2)+cosusin(pi/2)=(12/13)*0 +(-5/13)*1= -5/13

cos(u+(pi/2))=cosucos(pi/2)-sinusin(pi/2)=(-5/13)*0 -(12/13)*1= -12/13

tan(u+(pi/2))=sin(u+(pi/2))/cos(u+(pi/2))=(-5/13)/(-12/13)=5/12