solving trig equations

xc630

Junior Member
Joined
Sep 1, 2005
Messages
164
Hello, I am having trouble with this equation.

cot (x-(20degrees)) = 1

I am supposed to solve it for 0degrees</= x< 360 degrees

It looks like it would be a trig addition formula like tan (A+B) but this is cot so what would I do?
 
I would just find all the angle values between, say, 0° and 390° for which cotangent is equal to 1. Then set "x - 20°" equal to the list of values, and add "20°" to each value to find the values you need for "x".

Eliz.
 
Unless your are required to use a particular formula, I would take the arccot of 1 and add 20.

\(\displaystyle cot(x-20)=1\)

\(\displaystyle x-20=cot^{-1}(1)\)

\(\displaystyle x=cot^{-1}(1)+20\)

Tangent and cotangent have a period of 180 degrees. Once you have your first

answer, add 180.

For that matter, you could solve \(\displaystyle tan(x-20)=1\)and get the same thing.
 
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