Posted by shawn on Saturday, May 14, 2011 at 11:40am.
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[1-cos^2(theta)]
In quadrant III sine is negative so:
sin(theta)= - sqroot[1-cos^2(theta)]
sin(theta)= - sqroot[1-(-1/2)^2]
sin(theta)= - sqroot(1-1/4)
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
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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