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Math Problems
Precalculus
Inverses of trigonometric functions using a calculator
In
∠
U
V
W
\angle UVW
∠
U
VW
,
u
=
63
u=63
u
=
63
inches,
v
=
91
v=91
v
=
91
inches and
w
=
60
w=60
w
=
60
inches. Find the measure of
∠
W
\angle W
∠
W
to the nearest degree.
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Find the area in the left tail more extreme than
z
=
−
2.56
z=-2.56
z
=
−
2.56
in a standard normal distribution. Round your answer to four decimal places.
\newline
Area -
□
\square
□
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The area of a triangle is
10
10
10
. Two of the side lengths are
5
5
5
.
3
3
3
and
5
5
5
and the included angle is obtuse. Find the measure of the included angle, to the nearest tenth of a degree.
\newline
Answer:
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The area of a triangle is
5
5
5
. Two of the side lengths are
1
1
1
.
4
4
4
and
9
9
9
.
6
6
6
and the included angle is obtuse. Find the measure of the included angle, to the nearest tenth of a degree.
\newline
Answer:
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The area of a triangle is
6
6
6
. Two of the side lengths are
9
9
9
.
6
6
6
and
1
1
1
.
5
5
5
and the included angle is obtuse. Find the measure of the included angle, to the nearest tenth of a degree.
\newline
Answer:
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Find the direction angle of
u
=
(
−
7
,
−
10
)
\mathbf{u}=(-7,-10)
u
=
(
−
7
,
−
10
)
. Enter your answer as an angle in degrees between
0
∘
0^\circ
0
∘
and
36
0
∘
360^\circ
36
0
∘
rounded to the nearest hundredth.
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Find the direction angle of
u
=
(
−
10
,
7
)
\mathbf{u} = (-10,7)
u
=
(
−
10
,
7
)
. Enter your answer as an angle in degrees between
0
∘
0^\circ
0
∘
and
36
0
∘
360^\circ
36
0
∘
rounded to the nearest hundredth.
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Convert the angle
−
4.5
-4.5
−
4.5
radians to degrees, rounding to the nearest
1
0
t
h
10^{th}
1
0
t
h
.
\newline
Answer:
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Rotate the yellow dot to a location of
2
π
2 \pi
2
π
radians. After you rotate the angle, determine the value of
tan
2
π
\tan 2 \pi
tan
2
π
, to the nearest hundredth.
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Rotate the yellow dot to a location of
1
1
1
radian. After you rotate the angle, determine the value of
cos
1
\cos 1
cos
1
, to the nearest hundredth.
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Rotate the yellow dot to a location of
3
3
3
radians. After you rotate the angle, determine the value of
csc
3
\csc 3
csc
3
, to the nearest hundredth.
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Rotate the yellow dot to a location of
3
π
2
\frac{3 \pi}{2}
2
3
π
radians. After you rotate the angle, determine the value of
sin
3
π
2
\sin \frac{3 \pi}{2}
sin
2
3
π
, to the nearest hundredth.
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Rotate the yellow dot to a location of
π
2
\frac{\pi}{2}
2
π
radians. After you rotate the angle, determine the value of
tan
π
2
\tan \frac{\pi}{2}
tan
2
π
, to the nearest hundredth.
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Rotate the yellow dot to a location of
3
π
2
\frac{3 \pi}{2}
2
3
π
radians. After you rotate the angle, determine the value of
cos
3
π
2
\cos \frac{3 \pi}{2}
cos
2
3
π
, to the nearest hundredth.
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Rotate the yellow dot to a location of
π
2
\frac{\pi}{2}
2
π
radians. After you rotate the angle, determine the value of
sin
π
2
\sin \frac{\pi}{2}
sin
2
π
, to the nearest hundredth.
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Convert the angle
4
4
4
.
5
5
5
radians to degrees, rounding to the nearest
10
10
10
th.
\newline
Answer:
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Convert the angle
−
4
-4
−
4
.
5
5
5
radians to degrees, rounding to the nearest
10
10
10
th.
\newline
Answer:
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Convert the angle
−
5
-5
−
5
radians to degrees, rounding to the nearest
10
10
10
th.
\newline
Answer:
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Convert the angle
−
2
-2
−
2
.
5
5
5
radians to degrees, rounding to the nearest
10
10
10
th.
\newline
Answer:
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Convert the angle
−
0
-0
−
0
.
5
5
5
radians to degrees, rounding to the nearest
10
10
10
th.
\newline
Answer:
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Convert the angle
−
2
-2
−
2
radians to degrees, rounding to the nearest
10
10
10
th.
\newline
Answer:
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Convert the angle
−
3
-3
−
3
.
5
5
5
radians to degrees, rounding to the nearest
10
10
10
th.
\newline
Answer:
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Convert the angle
−
1
-1
−
1
.
5
5
5
radians to degrees, rounding to the nearest
10
10
10
th.
\newline
Answer:
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Convert the angle
0
0
0
.
5
5
5
radians to degrees, rounding to the nearest
10
10
10
th.
\newline
Answer:
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u
⃗
=
(
6
,
7
)
\vec{u}=(6,7)
u
=
(
6
,
7
)
\newline
Find the direction angle of
\newline
u
⃗
\vec{u}
u
. Enter your answer as an angle in degrees between
\newline
0
∘
0^{\circ}
0
∘
and
\newline
36
0
∘
360^{\circ}
36
0
∘
rounded to the nearest hundredth.
\newline
θ
=
□
∘
\theta=\square^{\circ}
θ
=
□
∘
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