solving trig equations

[xc630]

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?

 

[stapel]

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.

 

[galactus]

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.

 

[xc630]

Thanks i got 65 degrees and 245 degrees

 

[Gene]

Looks good.
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Gene