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Given: sine of cap A is equal to 4 fifths , pi over 2 is less than cap A comma cap A is less than pi and sine of cap b is equal to the fraction with numerator negative 2 square root of 5 and denominator 5 , pi is less than cap b comma cap b is less than 3 pi over 2 What is the value of cosine of open paren cap A minus cap b close paren ?

A
the fraction with numerator 11 square root of 5 and denominator 25
B
negative the fraction with numerator 2 square root of 5 and denominator 25
C
negative the fraction with numerator square root of 5 and denominator 5
D
the fraction with numerator 2 square root of 5 and denominator 5
3

What is the exact value of cosine of open paren 7 pi over 8 close paren ?

A
negative the fraction with numerator square root of 2 minus square root of 2 end root and denominator 2
B
negative the fraction with numerator square root of 2 plus square root of 2 end root and denominator 2
C
negative the fraction with numerator square root of 2 plus square root of 2 end root and denominator 4
D
negative the fraction with numerator square root of 2 minus square root of 2 end root and denominator 4
4

What is the exact value of cosine of open paren c plus d close paren , given sine c is equal to 24 over 25 for c in Quadrant II and cosine d is equal to negative 3 fourths for d in Quadrant III?

A
the fraction with numerator 21 minus 24 square root of 7 and denominator 100
B
the fraction with numerator 21 plus 24 square root of 7 and denominator 100
C
negative 1 and 3 over 100
D
negative 47 over 100
8

Which of the following is the correct expanded form for the series? the sum from n is equal to 0 to 4 of open paren negative 1 half close paren to the n th power

A
0 minus 1 half plus 1 fourth minus 1 eighth plus 1 over 16
B
1 minus 1 half minus 1 fourth minus 1 eighth minus 1 over 16
C
0 minus 1 half minus 1 fourth minus 1 eighth minus 1 over 16
D
1 minus 1 half plus 1 fourth minus 1 eighth plus 1 over 16
9

Information about two gears is shown in the table. Gear Revolutions per Minute Radius (in.) 1 60 6 2 80 4 Which statements compare the angular and linear velocities of the gears? Choose two correct answers.

A
Gear 1 has a lesser linear velocity than Gear 2.
B
Gear 1 has a greater linear velocity than Gear 2.
C
Gear 1 has a lesser angular velocity than Gear 2.
D
Gear 1 has a greater angular velocity than Gear 2.
10

Which expression is equivalent to tangent of open paren 3 pi over 4 minus 2 x close paren ?

A
the fraction with numerator negative 1 minus tangent of 2 x and denominator 1 minus negative 1 times tangent of 2 x
B
the fraction with numerator 1 minus tangent of 2 x and denominator 1 plus 1 times tangent of 2 x
C
the fraction with numerator 1 plus tangent of 2 x and denominator 1 minus 1 times tangent of 2 x
D
the fraction with numerator negative 1 minus tangent of 2 x and denominator 1 plus negative 1 times tangent of 2 x
16

Which is the standard form of the equation of a parabola with a focus of open paren 8 comma 0 close paren and directrix x is equal to negative 8 ?

A
y squared is equal to negative 32 x
B
y squared is equal to 32 x
C
y squared is equal to negative 8 x
D
y squared is equal to 8 x
20

A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60 degrees Which parametric equations model the dolphin’s path through the air?

A
x times t is equal to 44 sine open paren 60 degrees close paren t and y times t is equal to negative 16 t squared plus 44 cosine open paren 60 degrees close paren t
B
x times t is equal to 44 cosine open paren 60 degrees close paren t and y times t is equal to negative 16 t squared plus 44 sine open paren 60 degrees close paren t
C
x times t is equal to sine open paren 60 degrees close paren plus 44 and y times t is equal to negative 16 t squared plus cosine of open paren 60 degrees close paren plus 44
D
x times t is equal to cosine open paren 60 degrees close paren plus 44 and y times t is equal to negative 16 t squared plus sine open paren 60 degrees close paren plus 44

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N/A — Exam Answers — Precalculus