Extending Trigonometric Functions with Unit Circle
Precalculus · Flashcards · Recall
PRECALCULUS · FLASHCARDS
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QUESTION
What is the relationship between arc length
s
s
s
and angle
θ
\theta
θ
on the unit circle?
QUESTION
What is the symmetry identity for cosine that follows from the unit circle?
QUESTION
At which angles is
tan
θ
\tan\theta
tan
θ
undefined on the unit circle?
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ANSWER
θ
=
π
2
+
k
π
\theta=\frac{\pi}{2}+k\pi
θ
=
2
π
+
k
π
, for integers
k
k
k
. Where
cos
θ
=
0
\cos\theta = 0
cos
θ
=
0
, making division undefined.
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