Answer: x=0.6435011
Step-by-step explanation:
Take the inverse tangent of both sides of the equation to extract
x
from inside the tangent.
x
=
arctan
(
3
4
)
Evaluate
arctan
(
3
4
)
.
x
=
0.6435011
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from
π
to find the solution in the fourth quadrant.
x
=
(
3.14159265
)
+
0.6435011
Simplify the expression to find the second solution.
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x
=
3.78509376
Find the period.
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π
The period of the
tan
(
x
)
function is
π
so values will repeat every
π
radians in both directions.
x
=
0.6435011
+
π
n
,
3.78509376
+
π
n
, for any integer
n
Consolidate the answers.
x
=
0.6435011
+
π
n
, for any integer
n
12 and 1/8, I just simplified 2/16 to 1/8
Possible dimensions of the scarf are:
Width:6 inches Length:96inches
Width:12 inches Length:84 inches
Width:11inches Length: 86 inches
Width:10 inches Length: 88 inches
Width: 7 inches Length: 94 inches
Width: 8 inches Length: 92 inches
Width: 9 inches Length: 90 inches
