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Math Problems
Precalculus
Convert a recursive formula to an explicit formula
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
5
sin
2
θ
+
9
sin
θ
−
5
=
8
sin
θ
−
1
5 \sin ^{2} \theta+9 \sin \theta-5=8 \sin \theta-1
5
sin
2
θ
+
9
sin
θ
−
5
=
8
sin
θ
−
1
\newline
Answer:
θ
=
\theta=
θ
=
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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
tan
2
θ
+
3
tan
θ
−
4
=
−
5
2 \tan ^{2} \theta+3 \tan \theta-4=-5
2
tan
2
θ
+
3
tan
θ
−
4
=
−
5
\newline
Answer:
θ
=
\theta=
θ
=
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Find the
y
y
y
-intercept and
x
x
x
-intercept of the line.
\newline
7
x
−
6
y
=
−
42
7 x-6 y=-42
7
x
−
6
y
=
−
42
\newline
y
y
y
-intercept:
\newline
x
x
x
-intercept:
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In an arithmetic sequence, the first term,
a
1
a_{1}
a
1
, is equal to
3
3
3
, and the fourth term,
a
4
a_{4}
a
4
, is equal to
24
24
24
. Which number represents the common difference of the arithmetic sequence?
\newline
d
=
4
d=4
d
=
4
\newline
d
=
5
d=5
d
=
5
\newline
d
=
6
d=6
d
=
6
\newline
d
=
7
d=7
d
=
7
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Write an explicit formula for
a
n
a_{n}
a
n
, the
n
th
n^{\text {th }}
n
th
term of the sequence
27
,
23
,
19
,
…
27,23,19, \ldots
27
,
23
,
19
,
…
\newline
Answer:
a
n
=
a_{n}=
a
n
=
Get tutor help
