Use the Fundamental Identities to Find the Value of the Trigonometric

question 114

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Two sound waves, producing the pressures $\mathrm { P } _ { 1 } = 8 \sin ( 460 \pi \mathrm { t } )$ and $\mathrm { P } _ { 2 } = 6 \cos ( 460 \pi \mathrm { t } )$ , combine on a person's ear drum to produce the pressure $\mathrm { P } = \mathrm { P } _ { 1 } + \mathrm { P } _ { 2 }$ . Graph $\mathrm { P }$ in $[ - 0.01,0.01,0.001 ]$ by $[ - 20,20,2 ]$ and use the graph to estimate values for $a$ and $k$ so that $P = a \sin ( 460 \pi t + k )$ . Round $k$ to the nearest ten-thousandth, if necessary.

• A) \(\mathrm { a } = 3.2 ; \mathrm { k } = 929.9437\)
• B) \(a = 10 ; k = 929.9437\)
• C) \(a = 10 ; k = 0.6435\)
• D) \(a = 3.2 ; \mathrm { k } = 0.9273\)

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The process of breeding plants or animals for specific genetic traits, aiming to produce offspring with desired characteristics.

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Characteristics and features that are inherited from parents to offspring through the DNA.

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Methods used to introduce foreign genes into the genome of an organism, resulting in the expression of new traits or characteristics in the transgenic organism.

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Two chromosomes, one from each parent, that carry the same types of genes and are aligned with each other during meiosis.