Use a Sum or Difference Identity to Find the Exact $\cot \theta$

question 129

Multiple Choice

Use a sum or difference identity to find the exact value.
-Find $\cot \theta$ if $\tan \theta = \frac { \sqrt { 7 } } { 3 }$ and $\theta$ is in quadrant III.

• A) \(\frac { 3 \sqrt { 7 } } { 7 }\)
• B) \(- \frac { 3 } { 2 }\)
• C) \(\frac { 5 } { 4 }\)
• D) \(- \frac { \sqrt { 7 } } { 9 }\)

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Definitions:

ATP

Adenosine triphosphate, a molecule that stores and transfers energy within cells, enabling various cellular processes.

Passive Transport

The movement of substances across a cell membrane without the need for energy input, typically along the concentration gradient.

Plasma Membrane

The lipid bilayer membrane surrounding cytoplasm of a cell, regulating the passage of substances in and out of the cell.

Water-soluble Ions

Ions that dissolve in water, important in biological processes and the functioning of cells.