Write the Expression in Terms of Sine and Cosine, and Simplify

question 253

Multiple Choice

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.
-The power dissipated in an electric circuit is given by the expression $\mathrm { P } = \mathrm { RI } ^ { 2 }$ , where $\mathrm { R }$ is the resistance of the circuit and $I$ is the current through the circuit. For a sinusoidal alternating current, the current might be represented by the relation $\mathrm { I } = \mathrm { A } \sin ( 2 \pi \mathrm { ft } )$ , where $\mathrm { A }$ is the amplitude, $\mathrm { f }$ is the frequency, and $t$ is time. Write an expression for $P$ involving the sine function, and use a fundamental identity to write $P$ in terms of the cosine function.

• A) \(P = R A ^ { 2 } \sin ^ { 2 } ( 2 \pi f t ) ; P = - R A ^ { 2 } \cos ^ { 2 } ( 2 \pi f t )\)
• B) \(P = R A \sin ^ { 2 } ( 2 \pi f t ) ; P = R A - \cos ^ { 2 } ( 2 \pi f t )\)
• C) \(P = R A ^ { 2 } \sin ^ { 2 } ( 2 \pi f \mathrm { ft } ) ; P = R A ^ { 2 } - R A ^ { 2 } \cos ^ { 2 } ( 2 \pi f t )\)
• D) \(P = R A \sin ^ { 2 } ( 2 \pi f \mathrm { ft } ) ; P = R A - R A \cos ^ { 2 } ( 2 \pi f t )\)

Recognize the importance of safety, interactions, and potential side effects associated with herbal supplements and other CAM practices.

Evaluate the credibility and reliability of sources for information on integrative therapies.

Understand the role of the nurse in guiding patients through safe use of CAM and integrating these practices with conventional medicine.

Discuss the psychological impact and the placebo effect of CAM practices on health and well-being.

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Definitions:

Wrong Word

The use of a word in a context that does not fit its meaning, often leading to confusion or misunderstanding.

Agreement Issue

A problem or dispute arising from differing interpretations or violations of a formal agreement.

Noun

A part of speech that names a person, place, thing, or idea.

Subordinate Clauses

Clauses that cannot stand alone as complete sentences and function within a sentence to provide additional information.