Extending Trigonometric Functions with Unit Circle
Precalculus · Flashcards · Application
PRECALCULUS · FLASHCARDS
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QUESTION
What are the coordinates on the unit circle at
t
=
π
2
t=\frac{\pi}{2}
t
=
2
π
?
QUESTION
What is the reference angle for
θ
=
7
π
6
\theta=\frac{7\pi}{6}
θ
=
6
7
π
?
QUESTION
Identify the exact value of
cos
(
−
π
3
)
\cos\left(-\frac{\pi}{3}\right)
cos
(
−
3
π
)
using unit-circle symmetry.
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ANSWER
1
2
\frac{1}{2}
2
1
. By even property:
cos
(
−
π
3
)
=
cos
(
π
3
)
=
1
2
\cos(-\frac{\pi}{3})=\cos(\frac{\pi}{3})=\frac{1}{2}
cos
(
−
3
π
)
=
cos
(
3
π
)
=
2
1
.
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