
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Michel chooses a very obtuse angle $x$ (strictly between 90 degrees and 180 degrees) and calculates the values of $\sin x$, $\cos x$, $\tan x$, and $\csc x$ for this angle. He writes these values on four different cards and hands each card to four students: Olga, Sunita, Eric, and Laura, one card each. He then asks them to determine without consulting each other, from which trigonometric function (sin, cos, tan, or csc) their card's value came. After some time, only Olga could undoubtedly identify her card's function origin. Compute the sum of all possible values on Olga's card.

Present the answer in LaTex format: \boxed{Your answer}
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