Posted by Cobra7710 on Friday, September 2, 2011 at 8:48pm.
Find all values of theta given that theta is between 0 degrees and 360 degrees. It is known that cos theta = √3
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2

Algebra II  Ms. Sue, Friday, September 2, 2011 at 8:56pm
Timmy, Ryland, Cobra, Timmy  you must be having an identity crisis tonight.
Please use the same name for all of your posts.

Algebra II  Reiny, Friday, September 2, 2011 at 9:07pm
cosØ = √3/2
1. find the reference angle
(using the positive result √3/2 , use inverse cos to get and angle of 30°
( Make yourself familiar with the ratio of sides of the 306090 triangle)
2. Where is the angle Ø ?
Since the cosine is negative in II and III
in II : Ø = 18030 or 150°
or
in III : Ø = 180+30 = 210°

Algebra II  Cobra7710, Saturday, September 3, 2011 at 4:06am
oh so we only want reference angle. i thought values meant sin,cos,and tan. how do you know it only wanted reference angle?

Algebra II  Reiny, Saturday, September 3, 2011 at 7:29am
didn't it say,
"Find the values of Ø" , not find the values of sinØ etc ?
Finding the reference angle is only the first step, from there you have to decide what to do with that reference angle depending on the position of Ø and the values of cosØ
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