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Math Problems
Algebra 2
Inverses of sin, cos, and tan: radians
0
0
0
≤
θ
≤
π
\leq \theta \leq \pi
≤
θ
≤
π
. Find the value of
θ
\theta
θ
in radians.
\newline
θ
=
−
3
/
2
\theta = -\sqrt{3}/2
θ
=
−
3
/2
\newline
Write your answer in simplified, rationalized form. Do not round.
\newline
θ
=
\theta =
θ
=
______
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0
0
0
≤
θ
≤
π
\leq \theta \leq \pi
≤
θ
≤
π
. Find the value of
θ
\theta
θ
in radians.
\newline
θ
=
−
1
\theta = -1
θ
=
−
1
\newline
Write your answer in simplified, rationalized form. Do not round.
\newline
θ
=
\theta =
θ
=
______
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\newline
−
π
2
≤
θ
≤
π
2
- \frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}
−
2
π
≤
θ
≤
2
π
. Find the value of
θ
\theta
θ
in radians.
\newline
θ
=
−
3
2
\theta = -\sqrt{\frac{3}{2}}
θ
=
−
2
3
\newline
Write your answer in simplified, rationalized form. Do not round.
\newline
θ
=
\theta =
θ
=
______
\newline
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-
π
2
≤
θ
≤
π
2
\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}
2
π
≤
θ
≤
2
π
. Find the value of
θ
\theta
θ
in radians.
\newline
θ
=
0
\theta = 0
θ
=
0
\newline
Write your answer in simplified, rationalized form. Do not round.
\newline
θ
=
\theta =
θ
=
______
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Find an angle
θ
\theta
θ
coterminal to
103
6
∘
1036^{\circ}
103
6
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
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Trigonometric Identities and Equations
\newline
Using a Pythagorean identity to find solutions in an interval for a trigonometri...
\newline
Find all solutions of the equation in the interval
[
0
,
2
π
)
[0,2 \pi)
[
0
,
2
π
)
.
\newline
4
cos
x
=
−
sin
2
x
+
4
4 \cos x=-\sin ^{2} x+4
4
cos
x
=
−
sin
2
x
+
4
\newline
Write your answer in radians in terms of
π
\pi
π
.
\newline
If there is more than one solution, separate them with commas.
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Find an angle
θ
\theta
θ
coterminal to
−
34
1
∘
-341^{\circ}
−
34
1
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
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Find an angle
θ
\theta
θ
coterminal to
64
5
∘
645^{\circ}
64
5
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
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Find an angle
θ
\theta
θ
coterminal to
101
1
∘
1011^{\circ}
101
1
∘
, where
0
∘
≤
θ
<
36
0
∘
0^{\circ} \leq \theta<360^{\circ}
0
∘
≤
θ
<
36
0
∘
.
\newline
Answer:
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