Final answer:
The measure of angle O as 11/6 does not directly lead to knowing specific trigonometric values or reference angles. Without further context or units, we cannot confirm any of the answer options provided. The reference angle needs to be within the range of 0 to 90 degrees to identify specific trigonometric values.
Step-by-step explanation:
The question is asking which statements are true given the measure of angle O, which is mentioned as 11/6. This value is not a standard measurement for angles and seems to be missing units or context. If we assume this value refers to radians, we need to convert it into degrees to find the reference angle and analyze the given statements. A reference angle is always between 0 to 90 degrees. For trigonometric values like tan(O), sin(O), and cos(O), we need to consider what quadrant angle O is located in when being measured in radians or degrees.
Normally, we can use the trigonometric identities and the reference angles to determine the true statements. For example, if the angle was given as 11/6 radians, converting this to degrees, we would obtain an angle that doesn't lead to any of the commonly known angles where tan(O) equals 1, or sin(O) equals 1/2. Therefore, we wouldn't necessarily be able to say that the reference angle is 45, 60, or 30 degrees without further context.
If the measure of angle O was, instead, given as a value within the first quadrant between 0 and π/2 radians (0 and 90 degrees), we could easily identify the reference angle and corresponding trigonometric values. Trigonometric values for specific reference angles are: a reference angle of 45 degrees (π/4 radians) gives tan(O) = 1, a reference angle of 60 degrees (π/3 radians) implies cos(O) < 1, and a reference angle of 30 degrees (π/6 radians) yields sin(O) = 1/2.
Based on standard trigonometric values, without additional information, none of the provided answer options can be confirmed as correct given the measurement of angle O as 11/6.