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Math Problems
Precalculus
Find trigonometric ratios using the unit circle
Line
ℓ
\ell
ℓ
has equation
x
=
1
x = 1
x
=
1
. Find the distance between
ℓ
\ell
ℓ
and the point
A
(
6
,
4
)
A(6, 4)
A
(
6
,
4
)
. Round your answer to the nearest tenth.
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The shadow of a
100
100
100
m long vertical pole is of
10
10
10
m . Then what will be the angle of inclination? Round your answer to the nearest tenth of a degree.
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x
2
+
y
2
+
6
x
−
4
y
=
3
x^{2}+y^{2}+6x-4y=3
x
2
+
y
2
+
6
x
−
4
y
=
3
\newline
A circle in the
x
y
xy
x
y
-plane has the equation shown. What is the
y
y
y
-coordinate of the center of the circle?
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If the angle
θ
=
−
3
π
4
\theta=-\frac{3 \pi}{4}
θ
=
−
4
3
π
is in standard position on the unit circle, what ordered pair does its terminal side pass through?
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The area of a parallelogram is
1033
1033
1033
, and the lengths of its sides are
67
67
67
and
32
32
32
. Determine, to the nearest tenth of a degree, the measure of the acute angle of the parallelogram.
\newline
Answer:
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The area of a triangle is
706
706
706
. Two of the side lengths are
45
45
45
and
33
33
33
and the included angle is obtuse. Find the measure of the included angle, to the nearest tenth of
a
a
a
degree.
\newline
Answer:
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