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:

Antigens

Antigens are substances, often foreign, that provoke an immune response in the body, especially the production of antibodies.

Monocytes

A type of white blood cell involved in the immune response, capable of differentiating into macrophages and dendritic cells to combat infection.

Phagocytosis

A cellular process where cells, usually immune cells, engulf and digest particles or pathogens to eliminate them.

Rheumatoid Factor

An autoantibody that is often present in the blood of individuals with rheumatoid arthritis and some other autoimmune diseases or infections.