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Answer:
[tex]\sin 117^{\circ} \approx 0.8910[/tex]
Step-by-step explanation:
Sine reaches upper bound when [tex]\theta = 90^{\circ}[/tex] and then decreases until reaches lower bound when [tex]\theta = 180^{\circ}[/tex]. By symmetry, we find the following fact:
[tex]\sin 117^{\circ} = \sin (90^{\circ}+27^{\circ}) = \sin (90^{\circ}-27^{\circ})[/tex]
[tex]\sin 117^{\circ} = \sin 63^{\circ}[/tex]
By information form table we find that:
[tex]\sin 63^{\circ} \approx 0.8910[/tex]
Therefore, we conclude that value of the given angle is:
[tex]\sin 117^{\circ} \approx 0.8910[/tex]