Find the Exact Value of the Expression $\cot 45 ^ { \circ } - \sin 60 ^ { \circ }$

question 125

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- $\cot 45 ^ { \circ } - \sin 60 ^ { \circ }$

• A) \(\frac { 2 - \sqrt { 3 } } { 2 }\)
• B) \(- \frac { \sqrt { 3 } } { 6 }\)
• C) \(\frac { 2 - \sqrt { 2 } } { 2 }\)
• D) \(\frac { 2 \sqrt { 3 } - 3 \sqrt { 2 } } { 6 }\)

---

Definitions:

Biotic Factors

Living components of an ecosystem, such as plants and animals, that influence the structure and function of the ecosystem.

Carrying Capacity

The maximum number of individuals or species an environment can support without degradation.

Growth Rate

The rate at which a population or economic variable increases over a specific period, often expressed as a percentage.

Metapopulations

A group of spatially separated populations of the same species which interact at some level, often considered when discussing the dynamics of species survival in fragmented habitats.