Solve the Problem $V _ { 1 } = 70 \sin ( 100 \pi t )$

Solve the problem.
-Two voltages, $V _ { 1 } = 70 \sin ( 100 \pi t )$ and $V _ { 2 } = 240 \cos ( 100 \pi t )$ , are added in a circuit to produce the sum $V = V _ { 1 } + V _ { 2 }$ . Graph $V$ in $[ - 0.02,0.02,0.002 ]$ by $[ - 250,250,20 ]$ and use the graph to estimate values for $\mathrm { a }$ and $\mathrm { k }$ so that $\mathrm { V } = \mathrm { a } \sin ( 100 \pi \mathrm { t } + \mathrm { k } )$ . Round $\mathrm { k }$ to the nearest ten-thousandth, if necessary.

A) $\mathrm { a } = 25 ; \mathrm { k } = 1.287$
B) $\mathrm { a } = 250 ; \mathrm { k } = 404.3233$
C) $a = 250 ; k = 1.287$
D) $\mathrm { a } = 250 ; \mathrm { k } = 89.1565$

Correct Answer:

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