Question

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

Answer 1

Answer:

$\sin 117^{\circ} \approx 0.8910$

Step-by-step 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:

$\sin 117^{\circ} \approx 0.8910$