Determine All Solutions of the Equation in Radians $\tan \frac { x } { 2 }$

question 345

Multiple Choice

Determine all solutions of the equation in radians.
-Find $\tan \frac { x } { 2 }$ , given that $\tan x = - 3$ and $x$ terminates in $90 ^ { \circ } < x < 180 ^ { \circ }$ .

• A) \(\frac { \sqrt { 10 } + 1 } { - 3 }\)
• B) \(\frac { \sqrt { 10 } + 1 } { 3 }\)
• C) \(\frac { \sqrt { 10 } - 1 } { 3 }\)
• D) \(\frac { \sqrt { 10 } - 1 } { - 3 }\)

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Definitions:

Sensory Memory

The shortest-term element of memory, it is the ability to retain impressions of sensory information after the original stimuli have ended, acting as a buffer for incoming sensory information.

Long-Term Memory

A type of storage in the brain capable of holding information for long periods, from hours to a lifetime.

Primary Memory

Also known as short-term memory, it is the component of the mind responsible for the transient holding of information.

Long-Term Memory

The stage of the memory process that is capable of storing information for extended periods, from hours to a lifetime.