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
Answer:
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Answer:
x=4, y=-2
Step-by-step explanation:
-5x+8y=-36
5x+7y=6
eqn 1+ eqn 2 gives
15y=-30
divide both sides by 15
y=-2, put in eqn 2
5x+7(-2)=6
5x=20 divide both sides by 5
x=4
