Use the Formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta + C )$

question 198

Multiple Choice

Use the formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta + C )$ , where $C = \arctan ( b / a ) , a = 18 , b = 6 , B = 3$ , to rewrite the trigonometric expression in the following form.
$y = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta + C )$ $a \sin B \theta + b \cos B \theta$

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Definitions:

Bleeder Resistor

A bleeder resistor is a safety component used in electrical circuits to discharge residual power from capacitors to prevent electric shock or damage to other circuit components when power is turned off.

Module Leakage Current

The small electrical current that flows through a module or device when it is supposed to be off, typically due to imperfect insulation or circuit design.

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Electrical circuits that inadvertently create a loop, often causing interference due to differences in ground potential.

Input Signal Sources

The origin or device that produces input signals for processing, such as sensors or switches, feeding back information to a control system.