If 2sin (x/x)=1 , find x
Answers
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0
Answer:
x
=
11
π
6
,
7
π
6
Explanation:
To solve this equation, go about it as you would any other equation. Get the sin x all by itself.
2
sin
x
+
1
=
0
2
sin
x
=
−
1
sin
x
=
−
1
2
Then, use the unit circle to find all radian values which have a y-coordinate of
−
1
2
, since sin is the
y
value (as opposed to cos, which is the x value).
As you can see, the coordinates
(
−
√
3
2
,
−
1
2
)
and
(
√
3
2
,
−
1
2
)
have
y
values (or
sin
values) of
−
1
2
.
The radian correspondents of these coordinates are
7
π
6
and
11
π
6
, and those are your two answers.
Explanation:
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