Question 730425
Given sec t = -4 and t is in quadrant 3, find the other 5 trig functions of t.
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let O=opposite side
let A=adjacent side
let H=Hypotenuse
..
sec t=-4=H/A
H=4, A=-1
O=√H^2-A^2)=-√(16-1)=-√15
..
sin t=O/H=-√15/4
cos t=A/H=-1/4
tan t=O/A=-√15/-1=√15
csc t=H/O=-4/√15
sec t=H/-1=-4
cot t=A/O=-1/-√15=1/√15