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The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v0 feet per second is The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v<sub>0</sub> feet per second is where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.) A) 14° B) 36° C) 18° D) 27° E) 41° where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.)


A) 14°
B) 36°
C) 18°
D) 27°
E) 41°

Correct Answer

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Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​ ​


A) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​
B) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​
C) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​
D) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​
E) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​

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Use a double-angle formula to rewrite the expression. ​ 10 cos2 x - 5 ​


A) 5 cos x
B) ​cos 5x
C) ​10 cos 2x
D) ​10 cos x
E) ​5 cos 2x

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Simplify the expression algebraically. ​ Simplify the expression algebraically. ​ ​ A) B) C) D) E) ​


A) Simplify the expression algebraically. ​ ​ A) B) C) D) E)
B) Simplify the expression algebraically. ​ ​ A) B) C) D) E)
C) Simplify the expression algebraically. ​ ​ A) B) C) D) E)
D) Simplify the expression algebraically. ​ ​ A) B) C) D) E)
E) Simplify the expression algebraically. ​ ​ A) B) C) D) E)

Correct Answer

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Find the exact value of the given expression. Find the exact value of the given expression. A) B) C) D) E)


A) Find the exact value of the given expression. A) B) C) D) E)
B) Find the exact value of the given expression. A) B) C) D) E)
C) Find the exact value of the given expression. A) B) C) D) E)
D) Find the exact value of the given expression. A) B) C) D) E)
E) Find the exact value of the given expression. A) B) C) D) E)

Correct Answer

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Convert the expression. ​ Convert the expression. ​ ​ A) ​ B) ​ C) ​ ​ D) ​ E) ​ ​


A) ​ Convert the expression. ​ ​ A) ​ B) ​ C) ​ ​ D) ​ E) ​
B) ​ Convert the expression. ​ ​ A) ​ B) ​ C) ​ ​ D) ​ E) ​
C) ​ Convert the expression. ​ ​ A) ​ B) ​ C) ​ ​ D) ​ E) ​ ​
D) ​ Convert the expression. ​ ​ A) ​ B) ​ C) ​ ​ D) ​ E) ​
E) ​ Convert the expression. ​ ​ A) ​ B) ​ C) ​ ​ D) ​ E) ​

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If x = 2 tan θ, use trigonometric substitution to write If x = 2 tan θ, use trigonometric substitution to write as a trigonometric function of θ, where . ​ A) ​2 cos θ B) ​2 tan θ C) ​2 sin θ D) ​2 sec θ E) ​2 csc θ as a trigonometric function of θ, where If x = 2 tan θ, use trigonometric substitution to write as a trigonometric function of θ, where . ​ A) ​2 cos θ B) ​2 tan θ C) ​2 sin θ D) ​2 sec θ E) ​2 csc θ . ​


A) ​2 cos θ
B) ​2 tan θ
C) ​2 sin θ
D) ​2 sec θ
E) ​2 csc θ

Correct Answer

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Write the given expression as the sine of an angle. Write the given expression as the sine of an angle. A) B) C) D) E)


A) Write the given expression as the sine of an angle. A) B) C) D) E)
B) Write the given expression as the sine of an angle. A) B) C) D) E)
C) Write the given expression as the sine of an angle. A) B) C) D) E)
D) Write the given expression as the sine of an angle. A) B) C) D) E)
E) Write the given expression as the sine of an angle. A) B) C) D) E)

Correct Answer

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Find the exact value of the given expression using a sum or difference formula. Find the exact value of the given expression using a sum or difference formula. A) B) C) D)


A) Find the exact value of the given expression using a sum or difference formula. A) B) C) D)
B) Find the exact value of the given expression using a sum or difference formula. A) B) C) D)
C) Find the exact value of the given expression using a sum or difference formula. A) B) C) D)
D) Find the exact value of the given expression using a sum or difference formula. A) B) C) D)

Correct Answer

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Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π) . ​ Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π) . ​ ​ A) ​ B) C) D) E) ​solution does not exist ​


A) ​ Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π) . ​ ​ A) ​ B) C) D) E) ​solution does not exist
B) Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π) . ​ ​ A) ​ B) C) D) E) ​solution does not exist
C) Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π) . ​ ​ A) ​ B) C) D) E) ​solution does not exist
D) Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0, 2π) . ​ ​ A) ​ B) C) D) E) ​solution does not exist
E) ​solution does not exist

Correct Answer

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Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ, where Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ, where . ​ A) - 5 sec θ B) 5 tan θ C) 25 sec θ D) 25 tan θ E) 5 sec θ . Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ, where . ​ A) - 5 sec θ B) 5 tan θ C) 25 sec θ D) 25 tan θ E) 5 sec θ ​


A) - 5 sec θ
B) 5 tan θ
C) 25 sec θ
D) 25 tan θ
E) 5 sec θ

Correct Answer

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Use the formula Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E) , where Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E) , to rewrite the trigonometric expression in the following form. ​ Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E) ​ Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E) ​


A) Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E) Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E)
B) Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E) Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E)
C) Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E) Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E)
D) Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E) Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E)
E) Use the formula , where , to rewrite the trigonometric expression in the following form. ​ ​ ​ A) B) C) D) E)

Correct Answer

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A Ferris wheel is built such that the height h (in feet) above the ground of a seat on the wheel at time t (in seconds) can be modeled by A Ferris wheel is built such that the height h (in feet) above the ground of a seat on the wheel at time t (in seconds) can be modeled by .The wheel makes one revolution every 36 seconds and the ride begins when t = 0.During the first 36 seconds of the ride, when will a person, who starts at the bottom of the Ferris wheel, be 67 feet above the ground? ​ A) 9 seconds and 22 seconds B) 9 seconds and 27 seconds C) 10 seconds and 22 seconds D) 9 seconds and 17 seconds E) 10 seconds and 17 seconds .The wheel makes one revolution every 36 seconds and the ride begins when t = 0.During the first 36 seconds of the ride, when will a person, who starts at the bottom of the Ferris wheel, be 67 feet above the ground? ​


A) 9 seconds and 22 seconds
B) 9 seconds and 27 seconds
C) 10 seconds and 22 seconds
D) 9 seconds and 17 seconds
E) 10 seconds and 17 seconds

Correct Answer

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Use the figure below to determine the exact value of the given function. ​ Use the figure below to determine the exact value of the given function. ​ A) ​ B) ​ C) ​ D) ​ E) ​ Use the figure below to determine the exact value of the given function. ​ A) ​ B) ​ C) ​ D) ​ E) ​


A) ​ Use the figure below to determine the exact value of the given function. ​ A) ​ B) ​ C) ​ D) ​ E) ​
B) ​ Use the figure below to determine the exact value of the given function. ​ A) ​ B) ​ C) ​ D) ​ E) ​
C) ​ Use the figure below to determine the exact value of the given function. ​ A) ​ B) ​ C) ​ D) ​ E) ​
D) ​ Use the figure below to determine the exact value of the given function. ​ A) ​ B) ​ C) ​ D) ​ E) ​
E) ​ Use the figure below to determine the exact value of the given function. ​ A) ​ B) ​ C) ​ D) ​ E) ​

Correct Answer

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Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​ Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​ ​ A = 1, b = 6 ​ A) B) C) ​ D) ​ E) ​ ​ A = 1, b = 6 ​


A) Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​ ​ A = 1, b = 6 ​ A) B) C) ​ D) ​ E) ​
B) Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​ ​ A = 1, b = 6 ​ A) B) C) ​ D) ​ E) ​
C) ​ Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​ ​ A = 1, b = 6 ​ A) B) C) ​ D) ​ E) ​
D) ​ Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​ ​ A = 1, b = 6 ​ A) B) C) ​ D) ​ E) ​
E) ​ Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​ ​ A = 1, b = 6 ​ A) B) C) ​ D) ​ E) ​

Correct Answer

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Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​ ​


A) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​
B) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​
C) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​
D) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​
E) ​ Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ ​ A) ​ B) ​ C) ​ D) ​ E) ​

Correct Answer

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Evaluate the following expression.(x ≠ π/10 + πn, where n is a whole number) ​ Evaluate the following expression.(x ≠ π/10 + πn, where n is a whole number) ​ ​ A) B) C) D) E) ​


A) Evaluate the following expression.(x ≠ π/10 + πn, where n is a whole number) ​ ​ A) B) C) D) E)
B) Evaluate the following expression.(x ≠ π/10 + πn, where n is a whole number) ​ ​ A) B) C) D) E)
C) Evaluate the following expression.(x ≠ π/10 + πn, where n is a whole number) ​ ​ A) B) C) D) E)
D) Evaluate the following expression.(x ≠ π/10 + πn, where n is a whole number) ​ ​ A) B) C) D) E)
E) Evaluate the following expression.(x ≠ π/10 + πn, where n is a whole number) ​ ​ A) B) C) D) E)

Correct Answer

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Which of the following is equivalent to the given expression? Which of the following is equivalent to the given expression? ​ A) ​ B) ​ C) ​ D) ​ E) ​ ​


A) ​ Which of the following is equivalent to the given expression? ​ A) ​ B) ​ C) ​ D) ​ E) ​
B) ​ Which of the following is equivalent to the given expression? ​ A) ​ B) ​ C) ​ D) ​ E) ​
C) ​ Which of the following is equivalent to the given expression? ​ A) ​ B) ​ C) ​ D) ​ E) ​
D) ​ Which of the following is equivalent to the given expression? ​ A) ​ B) ​ C) ​ D) ​ E) ​
E) ​ Which of the following is equivalent to the given expression? ​ A) ​ B) ​ C) ​ D) ​ E) ​

Correct Answer

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Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. ​ Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. ​ A) ​ B) ​ C) ​ D) ​ E) ​


A) ​ Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. ​ A) ​ B) ​ C) ​ D) ​ E) ​
B) ​ Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. ​ A) ​ B) ​ C) ​ D) ​ E) ​
C) ​ Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. ​ A) ​ B) ​ C) ​ D) ​ E) ​
D) ​ Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. ​ A) ​ B) ​ C) ​ D) ​ E) ​
E) ​ Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. ​ A) ​ B) ​ C) ​ D) ​ E) ​

Correct Answer

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If x = 4 cot θ, use trigonometric substitution to write If x = 4 cot θ, use trigonometric substitution to write as a trigonometric function of θ, where 0 < θ < π. A) ​4 cos θ B) ​4 csc θ C) ​4 cot θ D) ​4 sec θ E) ​4 sin θ as a trigonometric function of θ, where 0 < θ < π.


A) ​4 cos θ
B) ​4 csc θ
C) ​4 cot θ
D) ​4 sec θ
E) ​4 sin θ

Correct Answer

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