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given:cos(u)=-4/5, pi/2<u<piwe know that cos(u)=-4/5-> adj=4, hyp=5thenopp=sqrt(5^2-4^2)opp=sqrt(25-16)opp=sqrt(9)opp=3 sin(u)=3/5sin(2u) = 2sin(u) cos(u)sin(2u) = 2(3/5)(-4/5)sin(2u) =-24/25cos(2u) =cos^2(u) - sin^2(u)cos(2u) =(-4/5)^2 - (3/5)^2cos(2u) =7/25tan(2u)=sin(2u)/cos(2u)tan(2u)=(-24/25)/(7/25)tan(2u)=-24/7
given:
cos(u)=-4/5, pi/2<u<pi
we know that cos(u)=-4/5-> adj=4, hyp=5
then
opp=sqrt(5^2-4^2)
opp=sqrt(25-16)
opp=sqrt(9)
opp=3
sin(u)=3/5
sin(2u) = 2sin(u) cos(u)
sin(2u) = 2(3/5)(-4/5)
sin(2u) =-24/25
cos(2u) =cos^2(u) - sin^2(u)
cos(2u) =(-4/5)^2 - (3/5)^2
cos(2u) =7/25
tan(2u)=sin(2u)/cos(2u)
tan(2u)=(-24/25)/(7/25)
tan(2u)=-24/7
