SOLUTION: If you are given the value of tan Θ, then is it plausible to locate the value of sec Θ without locating the measure of Θ?

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Question 1059584: If you are given the value of tan Θ, then is it plausible to locate the value of sec Θ without locating the measure of Θ?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Not without more information.
For example, if tan%28theta%29=1 ,
it could be that theta is in the first quadrant,
with sin%28theta%29=cos%28theta%29=sqrt%282%29%2F2 and sec%28theta%29=sqrt%282%29 ,
or it could be that theta is a third quadrant angle,
with sin%28theta%29=cos%28theta%29=-sqrt%282%29%2F2 and sec%28theta%29=-sqrt%282%29 .