Solve the Equation for X, Where X Is Restricted to the Given

question 57

Multiple Choice

Solve the equation for x, where x is restricted to the given interval.
- $3 y = \tan 6 x$ , for $x$ in $\left( - \frac { \pi } { 12 } , \frac { \pi } { 12 } \right)$

• A) \(x = 6 \arctan \frac { y } { 3 }\)
• B) \(x = 2 \arctan y\)
• C) \(x = \frac { 1 } { 2 } \arctan y\)
• D) \(x = \frac { 1 } { 6 } \arctan 3 y\)

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Definitions:

Constitutional Delegates

Individuals who represent their states or constituencies in gatherings or conventions specifically tasked with drafting or amending a constitution.

Philadelphia

A major city in Pennsylvania, notable for its rich history as the location of key events in American history, including the signing of the Declaration of Independence and the Constitution.

Thomas Jefferson

The third President of the United States (1801-1809), principal author of the Declaration of Independence, and a founding figure in American history.

African-Americans

A racial or ethnic group in the United States with ancestry traced to Africa, especially those of Sub-Saharan origin.