Symmetry and Periodicity of Trigonometric Functions
Precalculus · Flashcards · Application
PRECALCULUS · FLASHCARDS
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QUESTION
What is
sin
(
11
π
6
)
\sin(\frac{11\pi}{6})
sin
(
6
11
π
)
using periodicity and unit circle values?
QUESTION
What is
sin
(
−
π
6
)
\sin(-\frac{\pi}{6})
sin
(
−
6
π
)
using odd symmetry?
QUESTION
What is
tan
(
−
π
4
)
\tan(-\frac{\pi}{4})
tan
(
−
4
π
)
using odd symmetry?
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ANSWER
−
1
-1
−
1
. Since
tan
(
−
θ
)
=
−
tan
θ
\tan(-\theta)=-\tan\theta
tan
(
−
θ
)
=
−
tan
θ
and
tan
(
π
4
)
=
1
\tan(\frac{\pi}{4})=1
tan
(
4
π
)
=
1
.
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