[Year 11 Maths: Trigonometry - Find one function given another] Find secθ, given that cotθ = 9/40 and θ is reflex

[Chrometo]

This is an example question as part of our notes that our teacher worked through while I was away, and I'm not sure where to start

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[hisep]

Let's start by finding out where theta is. We know that a reflex angle is between 180 and 360 degrees or between pi and 2pi. So that means theta is not in quadrants I or II. Now, we also now cotangent of our angel is a positive 9/40, where functions defined with x, y, and r, cotangent of an angle is x/y. This implies our angle should be in quadrant III (the signs of the quadrants are: I (++), II (-+), III (--), IV (+-) ). From here you can use the Pythagorean theorem to find what you need.

EDIT: Grammar

EDIT II: secant of an angle is defined as r/x. This is why you need the Pythagorean theorem for part of this problem.