Solving Trigonometric Equations in Context
Precalculus · Flashcards · Application
PRECALCULUS · FLASHCARDS
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QUESTION
Find all solutions on
[
0
,
2
π
)
[0,2\pi)
[
0
,
2
π
)
:
tan
(
x
)
=
−
3
\tan(x)=-\sqrt{3}
tan
(
x
)
=
−
3
.
QUESTION
Identify the inverse-trig step: Solve
sin
(
x
)
=
0.5
\sin(x)=0.5
sin
(
x
)
=
0.5
for the principal value of
x
x
x
.
QUESTION
Find all solutions on
[
0
,
2
π
)
[0,2\pi)
[
0
,
2
π
)
:
cos
(
x
)
=
−
2
2
\cos(x)=-\frac{\sqrt{2}}{2}
cos
(
x
)
=
−
2
2
.
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ANSWER
x
=
3
π
4
,
5
π
4
x=\frac{3\pi}{4},\frac{5\pi}{4}
x
=
4
3
π
,
4
5
π
. Negative cosine occurs in quadrants II and III.
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