Which of the Following Expressions Is Equivalent To $\frac { 3 \tan 8 x + 3 \tan 8 y } { 1 - \tan 8 x \tan 8 y }$

question 264

Multiple Choice

Which of the following expressions is equivalent to $\frac { 3 \tan 8 x + 3 \tan 8 y } { 1 - \tan 8 x \tan 8 y }$ ?
(x $\neq$ $\pi$ n, y $\neq$ $\pi$ n, where n is a whole number)

• A) \(\frac { 8 \cot 3 x + 8 \cot 3 y } { \cot 3 x \cot 3 y - 1 }\)
• B) \(\frac { 3 \cot 8 x + 3 \cot 8 y } { \cot 8 x \cot 8 y + 1 }\)
• C) \(\frac { 3 \cot 8 x + 3 \cot 8 y } { \cot 8 x \cot 8 y - 1 }\)
• D) \(\frac { 3 \cot 8 x - 3 \cot 8 y } { \cot 8 x \cot 8 y - 1 }\)
• E) \(\frac { 8 \cot 3 x + 8 \cot 3 y } { \cot 3 x \cot 3 y + 1 }\)

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Definitions:

Flexed

The state of being bent or tensed, often referring to a muscle contraction that decreases the angle between bones at a joint.

Abducted

The movement of a limb or other part away from the midline of the body or from another part.

Pivot Joint

A type of synovial joint that allows rotation around a single axis, as seen in the neck between the first and second cervical vertebrae.

Intercarpal

Pertaining to the joints and movements between the carpal bones of the wrist.