Write the Trigonometric Expression as an Algebraic Expression in U $\cot \left( \cos ^ { - 1 } \mathrm { u } \right)$

question 23

Multiple Choice

Write the trigonometric expression as an algebraic expression in u.
- $\cot \left( \cos ^ { - 1 } \mathrm { u } \right)$

• A) \(\frac { \mathrm { u } } { \sqrt { \mathrm { u } ^ { 2 } + 1 } }\)
• B) \(\sqrt { 1 - u ^ { 2 } }\)
• C) \(\frac { \sqrt { 1 - u ^ { 2 } } } { u }\)
• D) \(\frac { \mathrm { u } } { \sqrt { 1 - \mathrm { u } ^ { 2 } } }\)

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Definitions:

Hydrogen Bonds

Weak bonds between molecules or within them, involving a hydrogen atom and a more electronegative atom, important in the structure of DNA and proteins.

Secondary Structure

The level of protein structure describing the regular local structures formed by hydrogen bonds between the backbone amide and carboxyl groups, such as alpha-helices and beta-sheets.

Hydrophilic End

The part of a molecule that is attracted to water and can form hydrogen bonds with water molecules, often found in compounds like detergents.

Phospholipids

A group of fats that play a crucial role in the structure of all cellular membranes due to their ability to create double-layered lipid barriers.