The range of values of \( \theta \in[0,2 \pi] \) for which \( (1+\cos \theta, \sin \theta) \) is...
The range of values of \( \theta \in[0,2 \pi] \) for which \( (1+\cos \theta, \sin \theta) \) is an interior point of the circle \( x^{2}+ \) \( y^{2}=1 \) is
(a) \( (\pi / 6,5 \pi / 6) \)
(b) \( (2 \pi / 3,5 \pi / 3) \)
(c) \( (\pi / 6,7 \pi / 6) \)
(d) \( (2 \pi / 3,4 \pi / 3) \)
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