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Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos   , given that sin   and 360° < x < 450°. A)    B)    C)    D)   , given that sin Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos   , given that sin   and 360° < x < 450°. A)    B)    C)    D)   and 360° < x < 450°.


A) Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos   , given that sin   and 360° < x < 450°. A)    B)    C)    D)
B) Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos   , given that sin   and 360° < x < 450°. A)    B)    C)    D)
C) Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos   , given that sin   and 360° < x < 450°. A)    B)    C)    D)
D) Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos   , given that sin   and 360° < x < 450°. A)    B)    C)    D)

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Prove the identity. -cos 2x = Prove the identity. -cos 2x =

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Find the exact value using a double-angle identity. -cos Find the exact value using a double-angle identity. -cos   A)  0 B)    C)    D)


A) 0
B) Find the exact value using a double-angle identity. -cos   A)  0 B)    C)    D)
C) Find the exact value using a double-angle identity. -cos   A)  0 B)    C)    D)
D) Find the exact value using a double-angle identity. -cos   A)  0 B)    C)    D)

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Solve the problem. -A block hanging from a spring is free to oscillate. If a 1-kg block attached to the spring is given a downward velocity of 0.5 m/sec from a point 0.6 m above its resting position, then at any time t in seconds its position in Meters is given by x = 0.5 sin t - 0.6 cos t. Find the maximum distance that the block travels from its resting Position.


A) 1.22 m
B) 0.61 m
C) Solve the problem. -A block hanging from a spring is free to oscillate. If a 1-kg block attached to the spring is given a downward velocity of 0.5 m/sec from a point 0.6 m above its resting position, then at any time t in seconds its position in Meters is given by x = 0.5 sin t - 0.6 cos t. Find the maximum distance that the block travels from its resting Position. A)  1.22 m B)  0.61 m C)    D)
D) Solve the problem. -A block hanging from a spring is free to oscillate. If a 1-kg block attached to the spring is given a downward velocity of 0.5 m/sec from a point 0.6 m above its resting position, then at any time t in seconds its position in Meters is given by x = 0.5 sin t - 0.6 cos t. Find the maximum distance that the block travels from its resting Position. A)  1.22 m B)  0.61 m C)    D)

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For the given function, determine the amplitude and find the phase shift. -6 sin x - For the given function, determine the amplitude and find the phase shift. -6 sin x -   cos x Give the phase shift in radians in exact form. A)    B)    C)    D)   cos x Give the phase shift in radians in exact form.


A) For the given function, determine the amplitude and find the phase shift. -6 sin x -   cos x Give the phase shift in radians in exact form. A)    B)    C)    D)
B) For the given function, determine the amplitude and find the phase shift. -6 sin x -   cos x Give the phase shift in radians in exact form. A)    B)    C)    D)
C) For the given function, determine the amplitude and find the phase shift. -6 sin x -   cos x Give the phase shift in radians in exact form. A)    B)    C)    D)
D) For the given function, determine the amplitude and find the phase shift. -6 sin x -   cos x Give the phase shift in radians in exact form. A)    B)    C)    D)

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Find the exact value of the expression using the provided information. -Find tan(A + B) Find the exact value of the expression using the provided information. -Find tan(A + B)    , with A in quadrant II, and sin   , with B in quadrant II. A)    B)    C)    D)   , with A in quadrant II, and sin Find the exact value of the expression using the provided information. -Find tan(A + B)    , with A in quadrant II, and sin   , with B in quadrant II. A)    B)    C)    D)   , with B in quadrant II.


A) Find the exact value of the expression using the provided information. -Find tan(A + B)    , with A in quadrant II, and sin   , with B in quadrant II. A)    B)    C)    D)
B) Find the exact value of the expression using the provided information. -Find tan(A + B)    , with A in quadrant II, and sin   , with B in quadrant II. A)    B)    C)    D)
C) Find the exact value of the expression using the provided information. -Find tan(A + B)    , with A in quadrant II, and sin   , with B in quadrant II. A)    B)    C)    D)
D) Find the exact value of the expression using the provided information. -Find tan(A + B)    , with A in quadrant II, and sin   , with B in quadrant II. A)    B)    C)    D)

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Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -Find all values of x in the interval [0°, 360°)  that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -  A)  {30°, 90°, 150°, 210°, 270°, 330°} B)  {0°, 60°, 120°, 180°, 240°, 300°} C)  {60°, 90°, 120°, 240°, 270°, 300°} D)  {60°, 90°, 120°}


A) {30°, 90°, 150°, 210°, 270°, 330°}
B) {0°, 60°, 120°, 180°, 240°, 300°}
C) {60°, 90°, 120°, 240°, 270°, 300°}
D) {60°, 90°, 120°}

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Find all angles in [0°, 360°) that satisfy the equation. -cos Find all angles in [0°, 360°)  that satisfy the equation. -cos   A)  {60°, 120°} B)  {210°, 330°} C)  {150°, 210°} D)  {60°, 300°}


A) {60°, 120°}
B) {210°, 330°}
C) {150°, 210°}
D) {60°, 300°}

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Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13 with C in quadrant II. -tan 2C


A) Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13 with C in quadrant II. -tan 2C A)    B)    C)    D)
B) Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13 with C in quadrant II. -tan 2C A)    B)    C)    D)
C) Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13 with C in quadrant II. -tan 2C A)    B)    C)    D)
D) Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13 with C in quadrant II. -tan 2C A)    B)    C)    D)

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What happens when you try to evaluate Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What happens when you try to evaluate   ? ?

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The quanti...

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Show that the equation is not an identity by listing the value(s) of the variable from among Show that the equation is not an identity by listing the value(s)  of the variable from among   for which the equation is false. -  A)    B)    C)    D)   for which the equation is false. -Show that the equation is not an identity by listing the value(s)  of the variable from among   for which the equation is false. -  A)    B)    C)    D)


A) Show that the equation is not an identity by listing the value(s)  of the variable from among   for which the equation is false. -  A)    B)    C)    D)
B) Show that the equation is not an identity by listing the value(s)  of the variable from among   for which the equation is false. -  A)    B)    C)    D)
C) Show that the equation is not an identity by listing the value(s)  of the variable from among   for which the equation is false. -  A)    B)    C)    D)
D) Show that the equation is not an identity by listing the value(s)  of the variable from among   for which the equation is false. -  A)    B)    C)    D)

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Find all real numbers in the interval Find all real numbers in the interval   that satisfy the equation. -2   = sin x A)    B)    C)    D)   that satisfy the equation. -2 Find all real numbers in the interval   that satisfy the equation. -2   = sin x A)    B)    C)    D)   = sin x


A) Find all real numbers in the interval   that satisfy the equation. -2   = sin x A)    B)    C)    D)
B) Find all real numbers in the interval   that satisfy the equation. -2   = sin x A)    B)    C)    D)
C) Find all real numbers in the interval   that satisfy the equation. -2   = sin x A)    B)    C)    D)
D) Find all real numbers in the interval   that satisfy the equation. -2   = sin x A)    B)    C)    D)

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Find all real numbers that satisfy the equation. -2 cos Find all real numbers that satisfy the equation. -2 cos   A)    B)    C)    D)


A) Find all real numbers that satisfy the equation. -2 cos   A)    B)    C)    D)
B) Find all real numbers that satisfy the equation. -2 cos   A)    B)    C)    D)
C) Find all real numbers that satisfy the equation. -2 cos   A)    B)    C)    D)
D) Find all real numbers that satisfy the equation. -2 cos   A)    B)    C)    D)

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Complete the equation so the result is an identity. -Complete the equation so the result is an identity. -  A)    B)    C)    D)


A) Complete the equation so the result is an identity. -  A)    B)    C)    D)
B) Complete the equation so the result is an identity. -  A)    B)    C)    D)
C) Complete the equation so the result is an identity. -  A)    B)    C)    D)
D) Complete the equation so the result is an identity. -  A)    B)    C)    D)

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Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift


A) Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    phase shift Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift
B) Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    period 2 Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    phase shift Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift
C) Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    period 2 Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    ,phase shift Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift
D) Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    ,phase shift Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift    Graph the function by first writing it in the form y = A sin(x + C) . State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x   A)    phase shift     B)    period 2   phase shift     C)    period 2   ,phase shift     D)    ,phase shift

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Find the exact value by using a sum or difference identity. -tan Find the exact value by using a sum or difference identity. -tan   A)    B)    C)    D)


A) Find the exact value by using a sum or difference identity. -tan   A)    B)    C)    D)
B) Find the exact value by using a sum or difference identity. -tan   A)    B)    C)    D)
C) Find the exact value by using a sum or difference identity. -tan   A)    B)    C)    D)
D) Find the exact value by using a sum or difference identity. -tan   A)    B)    C)    D)

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Find the exact value by using a half-angle identity. -cos Find the exact value by using a half-angle identity. -cos   A)    B)    C)    D)


A) Find the exact value by using a half-angle identity. -cos   A)    B)    C)    D)
B) Find the exact value by using a half-angle identity. -cos   A)    B)    C)    D)
C) Find the exact value by using a half-angle identity. -cos   A)    B)    C)    D)
D) Find the exact value by using a half-angle identity. -cos   A)    B)    C)    D)

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Prove that the equation is an identity. -Prove that the equation is an identity. -

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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Prove that the equation is an identity. -SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Prove that the equation is an identity. -

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Simplify the expression by using a sum or difference identity. -cos(14k) cos (2k) - sin(14k) sin (2k)


A) sin(16k)
B) cos(12k)
C) sin(12k)
D) cos(16k)

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