Factor the Trigonometric Expression and Simplify $1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x$

question 411

Multiple Choice

Factor the trigonometric expression and simplify.
- $1 - 2 \sin ^ { 2 } x + \sin ^ { 4 } x$

• A) \(\cos ^ { 4 } x\)
• B) \(\left( 1 - \sin ^ { 2 } x \right)\)
• C) \(\sin ^ { 2 } x\)
• D) \(\left( 1 + \tan ^ { 2 } x \right)\)

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Definitions:

Shorted

A condition in which an electrical circuit bypasses its intended path due to a direct path of low resistance.

Rotating Magnetic Field

The revolving magnetic field inside a polyphase motor.

Synchronous Speed

The speed at which the magnetic field in an AC machine rotates, determined by the frequency of the supply current and the number of poles in the machine.

Rotor Speed

The rotational speed of the rotor in a motor or generator, usually measured in revolutions per minute (RPM).