Establish the Identity $$\cot ^ { 2 } x + \csc ^ { 2 } x = 2 \csc ^ { 2 } x - 1$$

question 57

Essay

Establish the identity.
- $$\cot ^ { 2 } x + \csc ^ { 2 } x = 2 \csc ^ { 2 } x - 1$$

---

Definitions:

Grandmother Hypothesis

A theory suggesting that the presence and assistance of grandmothers in caring for grandchildren can increase the survival chances of the grandchildren, thereby enhancing the grandmother's genetic legacy.

Reproductive Senescence

The phase in an organism's life characterized by a decrease in reproductive capacity and output, often associated with aging.

Illustrates

To clarify or make something understandable by providing examples, diagrams, or analogies.

Group Selectionist

An advocate for the theory that natural selection operates on groups as well as on individuals, favoring groups that function well as a unit.