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Use the Fundamental Identities to Find the Value of the Trigonometric

Question 204

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 I(t) =7cos(120πt) \mathrm { I } ( \mathrm { t } ) = 7 \cos ( 120 \pi \mathrm { t } ) , where tt is time measured in seconds. The power consumed by the appliance is P=I2RP = I ^ { 2 } R , where RR is a constant. Take RR 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=acos(kπt) +dP = a \cos ( k \pi t ) + d , where aa , kk , and dd are constants.


A) P=392cos(240πt) +392P = 392 \cos ( 240 \pi t ) + 392
[0,0.04,0.01][ 0,0.04,0.01 ] by [200,2000,200][ - 200,2000,200 ]
 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 ]

B) P=392cos(240πt) +392P = - 392 \cos ( 240 \pi t ) + 392
[0,0.04,0.01][ 0,0.04,0.01 ] by [200,2000,200][ - 200,2000,200 ]
 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 ]

C) P=392cos(120πt) +392P = 392 \cos ( 120 \pi t ) + 392
[0,0.04,0.01][ 0,0.04,0.01 ] by [200,2000,200][ - 200,2000,200 ]
 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 ]

D) P=784cos(240πt) +784P = 784 \cos ( 240 \pi t ) + 784
[0,0.04,0.01][ 0,0.04,0.01 ] by [200,2000,200][ - 200,2000,200 ]
 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 ]

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