Write the Expression in Terms of Sine and Cosine, and Simplify

question 199

Multiple Choice

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.
- $\sin ^ { 2 } x \left( \cot ^ { 2 } x + 1 \right)$

• A) \(\cos ^ { 2 } x + 1\)
• B) \(\tan ^ { 2 } x\)
• C) -1
• D) 1

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Definitions:

Surgical Repair

Medical procedures that involve the reconstruction or restoration of a part of the body to improve its function or appearance.

Ossicle

A small bone, particularly one of the three bones located in the middle ear known as the malleus, incus, and stapes.

Prosthesis

An artificial device used to replace a missing body part, such as a limb, tooth, or heart valve.

Inner Ear

The innermost part of the ear, containing the cochlea, vestibule, and semicircular canals, responsible for hearing and balance.