Trigonometric Equations and Inequalities
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
Solve
sin
(
2
θ
)
=
0
\text{sin}(2\theta) = 0
sin
(
2
θ
)
=
0
for
θ
\theta
θ
in
[
0
,
2
π
)
[0, 2\text{π})
[
0
,
2
π
)
.
QUESTION
Find the solutions for
cot
(
θ
)
=
0
\cot(\theta) = 0
cot
(
θ
)
=
0
in
[
0
,
2
π
)
[0, 2\pi)
[
0
,
2
π
)
.
QUESTION
Solve
tan
(
θ
)
=
1
3
\text{tan}(\theta) = \frac{1}{\sqrt{3}}
tan
(
θ
)
=
3
1
in
[
0
,
2
π
)
[0, 2\pi)
[
0
,
2
π
)
.
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ANSWER
θ
=
π
6
,
7
π
6
\theta = \frac{\pi}{6}, \frac{7\pi}{6}
θ
=
6
π
,
6
7
π
. Since
tan
(
θ
)
=
1
3
\tan(\theta) = \frac{1}{\sqrt{3}}
tan
(
θ
)
=
3
1
, we have
θ
=
π
6
\theta = \frac{\pi}{6}
θ
=
6
π
and
7
π
6
\frac{7\pi}{6}
6
7
π
.
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