Use the Addition Formulas for Sine and Cosine to Simplify $$\sin 54 ^ { \circ } \cos 24 ^ { \circ } - \cos 54 ^ { \circ } \sin 24 ^ { \circ }$$

question 25

Multiple Choice

Use the addition formulas for sine and cosine to simplify the expression. $$\sin 54 ^ { \circ } \cos 24 ^ { \circ } - \cos 54 ^ { \circ } \sin 24 ^ { \circ }$$

• A) \(\frac { \sqrt { 2 } } { 2 }\)
• B) 1/2
• C) 0
• D) 1
• E) \(\frac { \sqrt { 3 } } { 2 }\)

---

Definitions:

Muromachi

A period in Japanese history (1336-1573) characterized by the cultural achievements and military conflicts during the rule of the Ashikaga Shogunate.

Edo

The historical name for Tokyo during the period from 1603 to 1868, when it was the seat of the Tokugawa shogunate in Japan.

Hokusai

A Japanese artist, ukiyo-e painter, and printmaker of the Edo period, known for the iconic woodblock print series "Thirty-Six Views of Mount Fuji".

Prussian Blue

A dark blue pigment used in paints and inks, chemically known as iron(III) hexacyanoferrate, and historically significant for its role in art and industry.