Solving Trigonometric Equations in Context
Geometry · Flashcards · Application
GEOMETRY · FLASHCARDS
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QUESTION
Find all solutions in
[
0
,
2
π
)
[0,2\pi)
[
0
,
2
π
)
for
cos
(
θ
)
=
−
1
2
\cos(\theta)=-\frac{1}{2}
cos
(
θ
)
=
−
2
1
.
QUESTION
Solve for
x
x
x
in
tan
(
x
)
=
−
1
\tan(x)=-1
tan
(
x
)
=
−
1
on
[
0
,
2
π
)
[0,2\pi)
[
0
,
2
π
)
.
QUESTION
Solve for
x
x
x
in
cos
(
x
)
=
1
2
\cos(x)=\frac{1}{2}
cos
(
x
)
=
2
1
on
[
0
,
π
]
[0,\pi]
[
0
,
π
]
.
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ANSWER
x
=
π
3
x=\frac{\pi}{3}
x
=
3
π
. Only one solution of
cos
(
x
)
=
1
2
\cos(x) = \frac{1}{2}
cos
(
x
)
=
2
1
lies in
[
0
,
π
]
[0,\pi]
[
0
,
π
]
.
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