Solve the Equation (X in Radians and θ in Degrees) $\frac { 4 \tan \theta } { 21 - \tan ^ { 2 } \theta } = 1$

question 129

Multiple Choice

Solve the equation (x in radians and θ in degrees) for all exact solutions where appropriate. Round approximate answers in radians to four decimal places and approximate answers in degrees to the nearest tenth.
- $\frac { 4 \tan \theta } { 21 - \tan ^ { 2 } \theta } = 1$

• A) \(\left\{ 71.6 ^ { \circ } + 360 ^ { \circ } \mathrm { n } , 98.1 ^ { \circ } + 360 ^ { \circ } \mathrm { n } \right\}\)
• B) \(\left\{ 0 ^ { \circ } + 180 ^ { \circ } \mathrm { n } , 71.6 ^ { \circ } + 180 ^ { \circ } \mathrm { n } , 98.1 ^ { \circ } + 180 ^ { \circ } \mathrm { n } \right\}\)
• C) \(\left\{ 71.6 ^ { \circ } + 180 ^ { \circ } \mathrm { n } , 98.1 ^ { \circ } + 180 ^ { \circ } \mathrm { n } \right\}\)
• D) \(\varnothing\)

Recognize the effects of cutting a magnet on its magnetic properties.

Describe natural sources of magnetism and their significance.

Explain the behavior of magnetic lines of force and the concept of magnetic domains.

Understand the relationship between electricity and magnetism, including electromagnetism.

---

Definitions:

Federalist Papers

A series of 85 essays written by Alexander Hamilton, James Madison, and John Jay promoting the ratification of the U.S. Constitution.

Ratification

The official way to confirm something, usually by vote. It is the formal validation of a proposed law or amendment.

Alexander Hamilton

A founding father of the United States, first Secretary of the Treasury, and influential in laying the groundwork for the nation's financial system.

James Madison

An American statesman, diplomat, and the fourth President of the United States, known as the "Father of the Constitution" for his pivotal role in drafting and promoting the U.S. Constitution.