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Use the table to find the value of the following.
Sin117°

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Answer:


\sin 117^(\circ) \approx 0.8910

Explanation:

Sine reaches upper bound when
\theta = 90^(\circ) and then decreases until reaches lower bound when
\theta = 180^(\circ). By symmetry, we find the following fact:


\sin 117^(\circ) = \sin (90^(\circ)+27^(\circ)) = \sin (90^(\circ)-27^(\circ))


\sin 117^(\circ) = \sin 63^(\circ)

By information form table we find that:


\sin 63^(\circ) \approx 0.8910

Therefore, we conclude that value of the given angle is:


\sin 117^(\circ) \approx 0.8910

User Vjeux
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