trig
posted by shawn on .
If cos 0 =  1/2 and tan 0 > 0, find the quadrant that contains the terminal side of 0, and then find the exact values of the other five trig functions of 0.

The cosine is positive in I and IV
quadrant,negative in II and III quadrant.
The tangent is positive in I and III guadrant,negative in II and IV quadrant.
If cos(theta)<0 cosine is negative
If tan(theta)>0 tangent is positive
Only quadrant where cosine is nagative,and tangent is positive is quadrant III.
sin(theta)= + OR  sqroot[1cos^2(theta)]
In quadrant III sine is negative so:
sin(theta)=  sqroot[1cos^2(theta)]
sin(theta)=  sqroot[1(1/2)^2]
sin(theta)=  sqroot(11/4)
sin(theta)=  sqroot(3/4)
sin(theta)=  sqroot(3) /2
tan(theta)=sin(theta)/cos(theta)=
[sqroot(3)/2]/(1/2)= + sqroot(3)=
sqroot(3)
ctg(theta)=1/tan(theta)=1/sqroot(3)
sec(theta)=1/cos(theta)=1/(1/2)= 2
cosec(theta)=1/sin(theta)=1/[sqroot(3) /2]= 2/sqroot(3) 
determine all trig functions of theta using the given info, state the answers correct to the nearest hundredth.
cos (theta) = 5/13; tan (theta) < 0