Use the Half-Angle Formulas to Simplify the Expression $- \sqrt { \frac { 1 - \cos ( x - 3 ) } { 2 } }$

question 21

Multiple Choice

Use the half-angle formulas to simplify the expression. $- \sqrt { \frac { 1 - \cos ( x - 3 ) } { 2 } }$

• A) \(- \left| \sin \left( \frac { x - 3 } { 2 } \right) \right|\)
• B) \(- \left| \sin ^ { - 1 } \left( \frac { x + 3 } { 2 } \right) \right|\)
• C) \(- | \sin ( x - 3 ) |\)
• D) \(- \left| \sin ^ { - 1 } \left( \frac { x - 3 } { 2 } \right) \right|\)
• E) \(- \left| \sin \left( \frac { x + 3 } { 2 } \right) \right|\)

Understand the characteristics, advantages, and limitations of asexual reproduction in animals.

Describe essential events in sexual reproduction that lead to the formation of diploid offspring.

Understand the processes involved in gametogenesis and their outcomes.

Describe mechanisms of sperm-egg interaction and the prevention of polyspermy in both external and internal fertilization.

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Definitions:

Electrons

Negatively charged subatomic particles with a very small mass, found orbiting the nucleus of an atom.

Oxygen

A chemical element with symbol O, essential for respiration in many organisms and important in various industrial processes.

Isotopes

Forms of the same chemical element that have different numbers of neutrons, leading to variations in their total number of nucleons.

Neutrons

Subatomic particles found in the nucleus of an atom, carrying no electric charge and having a mass slightly larger than that of a proton.