Answer:
Step-by-step explanation:
Answer:
x
=
π
6
+
n
2
π
,
7
π
6
+
n
2
π
, where n is an integer
Explanation:
Start with:
cot
x
−
√
3
=
0
cot
x
=
√
3
This means that:
cos
x
sin
x
=
√
3
1
So the adjacent is length
√
3
and the opposite is length 1. This set us up for the 30/60/90 triangle and the angle we're looking at is the
30
o
or
π
6
one.
So now the question is which quadrants are we looking at. Cotangent is positive in Q1 and Q3. The angles we're looking at, then, are
π
6
and
π
+
π
6
=
7
π
6
.
This question does not limit our answer to any particular domain, and so we need the general solution, which is:
x
=
π
6
+
n
2
π
,
7
π
6
+
n
2
π
, where n is an integer
