I am still having trouble with these, maybe you could explain what I am doing wrong, here are a few I have been working on.
find tan angle
tan angle in QII, sec angle=-4/sqrt(5)
tan 2 angle in QI, cos 2 angle=3/5
tan 2 angle in QI, csc 2 angle=4/3
tan angle/2 in QII, Sec angle/2=-4
here is what I did
sec angle=-4/sqrt(5), sec=1/cos
tan^2 angle +1= 16/5
since sec is neg is QII, tan=-sqrt(11/5)
cos2 angle=3/5, cos is pos in QI
cos^2 angle=1-sin^2 angle
sin angle= 4/5
tan=sin angle/con angle= 4/5/3/5= 4/3
tan= 2(4/3)= 8/3
tan2 angle in QI, csc2 angle= 4/3, csc is pos in QI
csc angle = 1/sin angle
cos^2= 9/4, cos= 3/4
csc2 angle, cos angle=9/4
tan^2 angle +1=(1/9/4)^2
tan^2 angle +1= 16/81
I can see this is going badly.
tan angle/2 in QII, sec angle/2=-4, sec in QII is neg
sec= 1/cos angle
tan angle/2 in QII= -6sqrt(7)
sin angle/2= 1/3
+-sqrt(1-cos a/2)= +-sqrt(1-1/3/2)= +-sqrt(1/3)
Could you please show me what I am doing wrong. I have been working on this for a few hours and I think a thirty minute break to clear my head might do some good before I start doing some more problems. I would appreciate all and any suggestions you can give because I reall want to understand these identities.
Thank You very much!!!!