Solving Trigonometric Equations in Context
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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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
.
QUESTION
What is the general solution to
sin
(
x
)
=
sin
(
θ
)
\sin(x)=\sin(\theta)
sin
(
x
)
=
sin
(
θ
)
?
QUESTION
What is the principal range of
arcsin
(
x
)
\arcsin(x)
arcsin
(
x
)
?
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ANSWER
[
−
π
2
,
π
2
]
\left[-\frac{\pi}{2},\frac{\pi}{2}\right]
[
−
2
π
,
2
π
]
. Arcsin outputs angles from
−
90
°
-90°
−
90°
to
90
°
90°
90°
(quadrants I and IV).
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