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Math Problems
Algebra 2
Csc, sec, and cot of special angles
(x)
lim
x
→
+
∞
x
x
+
1
=
\lim _{x \rightarrow+\infty} \frac{\sqrt{x}}{x+1}=
lim
x
→
+
∞
x
+
1
x
=
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Diberikan sebarang ring
R
R
R
dan
R
R
R
. Dibentak himpunan
a
R
=
{
a
r
∣
r
∈
R
}
aR= \{ar|r \in R\}
a
R
=
{
a
r
∣
r
∈
R
}
dan
R
a
=
{
r
a
∣
r
∈
R
}
Ra= \{ra|r \in R\}
R
a
=
{
r
a
∣
r
∈
R
}
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Evaluate. Write your answer as a whole number or as a simplified fraction.
\newline
5
5
5
2
=
\frac{5^{5}}{5^{2}}=
5
2
5
5
=
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y
−
3
=
y
−
3
\sqrt{y-3}=y-3
y
−
3
=
y
−
3
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Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that solve the following equation.
\newline
sin
θ
=
0
\sin \theta=0
sin
θ
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that solve the following equation.
\newline
sin
θ
=
3
2
\sin \theta=\frac{\sqrt{3}}{2}
sin
θ
=
2
3
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
84
x
96
x
\frac{84 x}{96 x}
96
x
84
x
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
12
x
4
5
x
2
\frac{12 x^{4}}{5 x^{2}}
5
x
2
12
x
4
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
40
x
3
36
x
2
\frac{40 x^{3}}{36 x^{2}}
36
x
2
40
x
3
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
14
x
8
x
\frac{14 x}{8 x}
8
x
14
x
\newline
Answer:
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Perform the operation and express your answer as a single fraction in simplest form.
\newline
5
3
x
2
−
4
15
x
3
\frac{5}{3 x^{2}}-\frac{4}{15 x^{3}}
3
x
2
5
−
15
x
3
4
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
60
x
3
72
x
2
\frac{60 x^{3}}{72 x^{2}}
72
x
2
60
x
3
\newline
Answer:
Get tutor help
Perform the operation and express your answer as a single fraction in simplest form.
\newline
5
x
+
1
4
x
2
5 x+\frac{1}{4 x^{2}}
5
x
+
4
x
2
1
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
14
x
3
21
x
4
\frac{14 x^{3}}{21 x^{4}}
21
x
4
14
x
3
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
60
x
2
35
x
\frac{60 x^{2}}{35 x}
35
x
60
x
2
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
36
33
x
2
\frac{36}{33 x^{2}}
33
x
2
36
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
35
x
2
2
\frac{35 x^{2}}{2}
2
35
x
2
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
40
x
3
12
x
4
\frac{40 x^{3}}{12 x^{4}}
12
x
4
40
x
3
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
48
88
x
4
\frac{48}{88 x^{4}}
88
x
4
48
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
7
x
5
x
\frac{7 x}{5 x}
5
x
7
x
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
9
x
2
81
x
4
\frac{9 x^{2}}{81 x^{4}}
81
x
4
9
x
2
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
22
x
55
x
4
\frac{22 x}{55 x^{4}}
55
x
4
22
x
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
33
x
2
37
\frac{33 x^{2}}{37}
37
33
x
2
\newline
Answer:
Get tutor help
Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.
\newline
32
x
44
x
2
\frac{32 x}{44 x^{2}}
44
x
2
32
x
\newline
Answer:
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
4
cos
2
θ
=
4
cos
θ
−
1
4 \cos ^{2} \theta=4 \cos \theta-1
4
cos
2
θ
=
4
cos
θ
−
1
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
−
6
sin
2
θ
−
9
=
7
sin
θ
−
8
-6 \sin ^{2} \theta-9=7 \sin \theta-8
−
6
sin
2
θ
−
9
=
7
sin
θ
−
8
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
6
tan
2
θ
=
11
tan
θ
+
7
6 \tan ^{2} \theta=11 \tan \theta+7
6
tan
2
θ
=
11
tan
θ
+
7
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
8
sin
2
θ
+
6
sin
θ
=
−
1
8 \sin ^{2} \theta+6 \sin \theta=-1
8
sin
2
θ
+
6
sin
θ
=
−
1
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
sin
2
θ
+
sin
θ
=
0
\sin ^{2} \theta+\sin \theta=0
sin
2
θ
+
sin
θ
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
4
sin
2
θ
+
sin
θ
=
0
4 \sin ^{2} \theta+\sin \theta=0
4
sin
2
θ
+
sin
θ
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
sin
2
θ
−
8
sin
θ
+
12
=
0
\sin ^{2} \theta-8 \sin \theta+12=0
sin
2
θ
−
8
sin
θ
+
12
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
25
csc
2
θ
−
9
=
0
25 \csc ^{2} \theta-9=0
25
csc
2
θ
−
9
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
sin
2
θ
−
sin
θ
=
0
\sin ^{2} \theta-\sin \theta=0
sin
2
θ
−
sin
θ
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
tan
2
θ
−
3
tan
θ
=
0
\tan ^{2} \theta-3 \tan \theta=0
tan
2
θ
−
3
tan
θ
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
tan
2
θ
+
5
tan
θ
+
6
=
0
\tan ^{2} \theta+5 \tan \theta+6=0
tan
2
θ
+
5
tan
θ
+
6
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
4
sec
2
θ
−
25
=
0
4 \sec ^{2} \theta-25=0
4
sec
2
θ
−
25
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
2
sin
2
θ
−
5
sin
θ
=
0
2 \sin ^{2} \theta-5 \sin \theta=0
2
sin
2
θ
−
5
sin
θ
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
tan
2
θ
+
7
tan
θ
+
6
=
0
\tan ^{2} \theta+7 \tan \theta+6=0
tan
2
θ
+
7
tan
θ
+
6
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
cos
2
θ
−
2
cos
θ
=
0
\cos ^{2} \theta-2 \cos \theta=0
cos
2
θ
−
2
cos
θ
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
9
cot
2
θ
−
1
=
0
9 \cot ^{2} \theta-1=0
9
cot
2
θ
−
1
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
cot
2
θ
−
1
=
0
\cot ^{2} \theta-1=0
cot
2
θ
−
1
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
16
sin
2
θ
−
9
=
0
16 \sin ^{2} \theta-9=0
16
sin
2
θ
−
9
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
sin
2
θ
−
4
=
0
\sin ^{2} \theta-4=0
sin
2
θ
−
4
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
cos
2
θ
−
1
=
0
\cos ^{2} \theta-1=0
cos
2
θ
−
1
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
csc
2
θ
+
5
csc
θ
−
6
=
0
\csc ^{2} \theta+5 \csc \theta-6=0
csc
2
θ
+
5
csc
θ
−
6
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
4
cos
2
θ
−
9
=
0
4 \cos ^{2} \theta-9=0
4
cos
2
θ
−
9
=
0
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
6
tan
2
θ
=
13
tan
θ
+
8
6 \tan ^{2} \theta=13 \tan \theta+8
6
tan
2
θ
=
13
tan
θ
+
8
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
4
cos
2
θ
+
17
cos
θ
+
7
=
5
cos
θ
+
2
4 \cos ^{2} \theta+17 \cos \theta+7=5 \cos \theta+2
4
cos
2
θ
+
17
cos
θ
+
7
=
5
cos
θ
+
2
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
−
4
sin
2
θ
−
6
sin
θ
+
4
=
−
9
sin
θ
+
3
-4 \sin ^{2} \theta-6 \sin \theta+4=-9 \sin \theta+3
−
4
sin
2
θ
−
6
sin
θ
+
4
=
−
9
sin
θ
+
3
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
Find all angles,
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
, that satisfy the equation below, to the nearest tenth of a degree.
\newline
9
sin
2
θ
+
sin
θ
=
−
2
sin
θ
+
2
9 \sin ^{2} \theta+\sin \theta=-2 \sin \theta+2
9
sin
2
θ
+
sin
θ
=
−
2
sin
θ
+
2
\newline
Answer:
θ
=
\theta=
θ
=
Get tutor help
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