What is tan ?
We'll need both sine and cosine to solve this problem.
Our angle is in the first quadrant, so we don't need the corresponding acute angle.
Wrap that answer in a bow and give it to someone, because it is as good as gold.
What is sec ?
Our corresponding acute angle is , in the third quadrant.
Secant equals
We're in the third quadrant, and cosine and secant are negative there, so
What is ?
Our angle is smaller than π, so it's in the second quadrant.
Cosecant is paired with sine, not cosine.
Using the special angle wheel, the unit circle, we know that .
Sine, and cosecant, are positive in the second quadrant, so
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?
?
, in the third quadrant.
?
smaller than π, so it's in the second quadrant.
.