Express the Product as a Sum Containing Only Sines or Cosines

question 388

Multiple Choice

Express the product as a sum containing only sines or cosines.
- $$\sin \frac { \theta } { 2 } \cos \frac { 5 \theta } { 2 }$$

• A) \(\frac { 1 } { 4 } \sin \cos ( 5 \theta )\)
• B) \(\frac { 1 } { 4 } [ \cos ( 6 \theta ) - \sin ( 4 \theta ) ]\)
• C) \(\frac { 1 } { 2 } [ \cos ( 3 \theta ) + \sin ( 2 \theta ) ]\)
• D) \(\frac { 1 } { 2 } [ \sin ( 3 \theta ) - \sin ( 2 \theta ) ]\)

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Definitions:

Stock Dividend

A distribution of additional shares of a company's stock to its shareholders instead of paying a cash dividend.

Stockholders' Equity

Stockholders' equity represents the ownership interest of shareholders in the corporation, calculated as total assets minus total liabilities.

Liabilities

Financial obligations or debts that a company owes to external parties.

Cash Dividend

A cash dividend is a payment made by a company out of its earnings to shareholders in the form of cash.