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

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Simplify the expression. -Simplify the expression. -  A)    B)    C)    D)


A) Simplify the expression. -  A)    B)    C)    D)
B) Simplify the expression. -  A)    B)    C)    D)
C) Simplify the expression. -  A)    B)    C)    D)
D) Simplify the expression. -  A)    B)    C)    D)

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Find the exact value by using a sum or difference identity. -tan 75°


A) Find the exact value by using a sum or difference identity. -tan 75° A)    B)    C)    D)
B) Find the exact value by using a sum or difference identity. -tan 75° A)    B)    C)    D)
C) Find the exact value by using a sum or difference identity. -tan 75° A)    B)    C)    D)
D) Find the exact value by using a sum or difference identity. -tan 75° A)    B)    C)    D)

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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. -cos 2B


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. -cos 2B 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. -cos 2B 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. -cos 2B 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. -cos 2B A)    B)    C)    D)

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Find the product. -Find the product. -  A)    B)    C)    D)


A) Find the product. -  A)    B)    C)    D)
B) Find the product. -  A)    B)    C)    D)
C) Find the product. -  A)    B)    C)    D)
D) Find the product. -  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. -  sin 4x = 3 A)  0 B)    C)    D)   that satisfy the equation. -Find all real numbers in the interval   that satisfy the equation. -  sin 4x = 3 A)  0 B)    C)    D)   sin 4x = 3


A) 0
B) Find all real numbers in the interval   that satisfy the equation. -  sin 4x = 3 A)  0 B)    C)    D)
C) Find all real numbers in the interval   that satisfy the equation. -  sin 4x = 3 A)  0 B)    C)    D)
D) Find all real numbers in the interval   that satisfy the equation. -  sin 4x = 3 A)  0 B)    C)    D)

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Use a sum-to-product identity to rewrite the expression. -sin 53° - sin 25°


A) -2 sin 39° sin 14°
B) 2 cos 39° sin 14°
C) 2 cos 39° cos 14°
D) 2 sin 39° cos 14°

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Factor and, if possible, simplify the expression. -Factor and, if possible, simplify the expression. -  A)    B)    C)    D)


A) Factor and, if possible, simplify the expression. -  A)    B)    C)    D)
B) Factor and, if possible, simplify the expression. -  A)    B)    C)    D)
C) Factor and, if possible, simplify the expression. -  A)    B)    C)    D)
D) Factor and, if possible, simplify the expression. -  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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Find all real numbers in the interval Find all real numbers in the interval   that satisfy the equation. -  + sin x = 0 A)    B)    C)    D)   that satisfy the equation. -Find all real numbers in the interval   that satisfy the equation. -  + sin x = 0 A)    B)    C)    D)   + sin x = 0


A) Find all real numbers in the interval   that satisfy the equation. -  + sin x = 0 A)    B)    C)    D)
B) Find all real numbers in the interval   that satisfy the equation. -  + sin x = 0 A)    B)    C)    D)
C) Find all real numbers in the interval   that satisfy the equation. -  + sin x = 0 A)    B)    C)    D)
D) Find all real numbers in the interval   that satisfy the equation. -  + sin x = 0 A)    B)    C)    D)

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Choose the expression which is equivalent to the given expression. -Choose the expression which is equivalent to the given expression. -  A)    B)  sin 6° C)    D)  cos 6°


A) Choose the expression which is equivalent to the given expression. -  A)    B)  sin 6° C)    D)  cos 6°
B) sin 6°
C) Choose the expression which is equivalent to the given expression. -  A)    B)  sin 6° C)    D)  cos 6°
D) cos 6°

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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. -3 Find all values of x in the interval [0°, 360°)  that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -3   - sin x - 4 = 0 A)  {0°} B)  {270°} C)  {180°} D)  {90°} - sin x - 4 = 0


A) {0°}
B) {270°}
C) {180°}
D) {90°}

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Choose the expression which is equivalent to the given expression. -2 sin 18° cos 18°


A) sin 36°
B) cos 9°
C) cos 36°
D) sin 9°

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Use an identity to write the expression as a single trigonometric function or as a single number. -Use an identity to write the expression as a single trigonometric function or as a single number. -  A)  cot 41° B)  tan 41° C)  sin 41° D)  cos 41°


A) cot 41°
B) tan 41°
C) sin 41°
D) cos 41°

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

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Find all angles in [0°, 360°) that satisfy the equation. -Find all angles in [0°, 360°)  that satisfy the equation. -  A)  {15°, 165°, 195°, 345°} B)  {105°, 165°, 285°, 345°} C)  {0°, 120°, 180°, 240°} D)  {30°, 90°, 150°, 270°}


A) {15°, 165°, 195°, 345°}
B) {105°, 165°, 285°, 345°}
C) {0°, 120°, 180°, 240°}
D) {30°, 90°, 150°, 270°}

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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. -sin 2B


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. -sin 2B 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. -sin 2B 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. -sin 2B 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. -sin 2B A)    B)    C)    D)

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Find the product. -( Find the product. -(   A)    B)    C)    D)


A) Find the product. -(   A)    B)    C)    D)
B) Find the product. -(   A)    B)    C)    D)
C) Find the product. -(   A)    B)    C)    D)
D) Find the product. -(   A)    B)    C)    D)

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Find all angles in [0°, 360°) that satisfy the equation. -Find all angles in [0°, 360°)  that satisfy the equation. -  A)  60°, 300° B)  120°, 240° C)  30°, 60°, 210°, 240° D)  15°, 75°, 195°, 255°


A) 60°, 300°
B) 120°, 240°
C) 30°, 60°, 210°, 240°
D) 15°, 75°, 195°, 255°

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Solve the problem. -The position of a weight on a spring relative to the point of equilibrium is given by y = 2 cos 7t - 5 sin 7t, Where the arguments are in radians and t is in seconds. Find the smallest value of t for which the weight is at the Point of equilibrium (y = 0) . Give your answer to the nearest hundredth.


A) 0.05 sec
B) 0.10 sec
C) 0.17 sec
D) 0.20 sec

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