Solve the Problem $\frac { 8 \sin ^ { 2 } \theta + 9 \sin \theta + 1 } { \sin ^ { 2 } \theta - 1 }$

question 362

Essay

Solve the problem.
-Factor and simplify: $\frac { 8 \sin ^ { 2 } \theta + 9 \sin \theta + 1 } { \sin ^ { 2 } \theta - 1 }$

---

Definitions:

Glycolysis

A metabolic pathway that converts glucose into pyruvate, releasing energy and pyruvic acid.

Chemiosmosis

Process by which phosphorylation of ADP to form ATP is coupled to the transfer of electrons down an electron transport chain; the electron transport chain powers proton pumps that produce a proton gradient across the membrane; ATP is formed as protons diffuse through transmembrane channels in ATP synthase.

Electron Acceptor

An electron acceptor is a chemical entity that accepts electrons transferred to it from another compound. It is crucial in redox reactions and processes such as respiration.

NADH

Nicotinamide adenine dinucleotide (NADH) is a coenzyme found in all living cells that is involved in redox reactions, carrying electrons from one reaction to another.