Use the Fundamental Identities to Find the Value of the Trigonometric

question 1

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Suppose that a household appliance draws a current represented by the relation $\mathrm { I } ( \mathrm { t } ) = 7 \cos ( 120 \pi \mathrm { t } )$ , where $t$ is time measured in seconds. The power consumed by the appliance is $P = I ^ { 2 } R$ , where $R$ is a constant. Take $R$ to be 16 and graph the power in [0,0.04, 0.01] by [-200, 2000, 200] and use an identity to write the expression for the power in the form $P = a \cos ( k \pi t ) + d$ , where $a$ , $k$ , and $d$ are constants.

• A) \(P = 392 \cos ( 240 \pi t ) + 392\) \([ 0,0.04,0.01 ]\) by \([ - 200,2000,200 ]\)
• B) \(P = - 392 \cos ( 240 \pi t ) + 392\) \([ 0,0.04,0.01 ]\) by \([ - 200,2000,200 ]\)
• C) \(P = 392 \cos ( 120 \pi t ) + 392\) \([ 0,0.04,0.01 ]\) by \([ - 200,2000,200 ]\)
• D) \(P = 784 \cos ( 240 \pi t ) + 784\) \([ 0,0.04,0.01 ]\) by \([ - 200,2000,200 ]\)

---

Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.