Posted by shawn on Saturday, May 14, 2011 at 11:40am.
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.

trig  Anonymous, Saturday, May 14, 2011 at 12:09pm
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)

trig  anna, Tuesday, October 4, 2011 at 10:23pm
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
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