# How do you find θ, if #0 < θ < 360# and #cot theta =-1 # and theta in in QIV?

##### 1 Answer

#### Explanation:

I've been doing trig homework all week and almost all the problems use multiples of

Cotangent is reciprocal slope. It's pretty much the unit the Egyptians used to build the pyramids. They liked the **seked** , which was the number of palms horizontal per cubit vertical, a cubit being seven palms. Thus a seked is seven times the cotangent.

The line through the origin with reciprocal slope

The former,

Let's say we didn't know that and just needed to solve

The trick to all of these is to work them into the form

Since

That's the same answer we got by knowing cotangent meant reciprocal slope, and we choose the one in the fourth quadrant as requested.

OK, we're asked for a positive value in the fourth quadrant which would be