Exam 1: Trigonometry

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The Leaning Tower of Pisa is not vertical, but if you know the angle of elevation θ to the top of the tower when you stand 20 feet away from it, you can find its height h using the formula ​ The Leaning Tower of Pisa is not vertical, but if you know the angle of elevation θ to the top of the tower when you stand 20 feet away from it, you can find its height h using the formula ​   ​ ​

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A tapered shaft has a diameter of A tapered shaft has a diameter of   centimeters at the small end and is 15 centimeters long (see figure).The taper is 3°.Find the diameter d of the large end of the shaft.(Round your answer to two decimal places.) ​   ​ ​ centimeters at the small end and is 15 centimeters long (see figure).The taper is 3°.Find the diameter d of the large end of the shaft.(Round your answer to two decimal places.) ​ A tapered shaft has a diameter of   centimeters at the small end and is 15 centimeters long (see figure).The taper is 3°.Find the diameter d of the large end of the shaft.(Round your answer to two decimal places.) ​   ​ ​ ​ ​

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A boat is pulled in by means of a winch located on a dock A boat is pulled in by means of a winch located on a dock   feet above the deck of the boat (see figure).Let θ be the angle of elevation from the boat to the winch and let s be the length of the rope from the winch to the boat.Write θ as a function of s. ​   ​ feet above the deck of the boat (see figure).Let θ be the angle of elevation from the boat to the winch and let s be the length of the rope from the winch to the boat.Write θ as a function of s. ​ A boat is pulled in by means of a winch located on a dock   feet above the deck of the boat (see figure).Let θ be the angle of elevation from the boat to the winch and let s be the length of the rope from the winch to the boat.Write θ as a function of s. ​   ​ ​

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Describe the behavior of the function below as x approaches Describe the behavior of the function below as x approaches   . ​   ​ . ​ Describe the behavior of the function below as x approaches   . ​   ​ ​

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Find the point (x, y) on the unit circle that corresponds to the real number t. ​ Find the point (x, y) on the unit circle that corresponds to the real number t. ​   ​ ​

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Determine the quadrant in which an angle, θ, lies if Determine the quadrant in which an angle, θ, lies if   . .

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Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. ​ Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. ​   ​ Sec θ and csc(90° - θ) ​ ​ Sec θ and csc(90° - θ) ​

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Find the complement of the following angle.Round your answer to two decimal places. ​ 1)1 ​

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Use the graph shown below to determine if the function is even, odd, or neither. ​ ​ Use the graph shown below to determine if the function is even, odd, or neither. ​ ​   ​  ​ Use the graph shown below to determine if the function is even, odd, or neither. ​ ​   ​

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Which of the following functions is represented by the graph below? Which of the following functions is represented by the graph below?

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Convert angle measure to decimal degree form.Round your answer to three decimal places. ​ 298°39' ​

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Convert following angle measure to degrees, minutes, and seconds. ​ 218)7° ​

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Convert following angle measure to degrees, minutes, and seconds. -328.120° ​

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Find the value of given trigonometric function.Round your answer to four decimal places. ​ Find the value of given trigonometric function.Round your answer to four decimal places. ​   ​ ​

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Rewrite 95° in radian measure as a multiple of π.​ ​

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Use the value of the trigonometric function to find Use the value of the trigonometric function to find   . ​   ​ . ​ Use the value of the trigonometric function to find   . ​   ​ ​

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Determine the exact values of the three trigonometric functions csc, sec, and cot of the angle θ. ​ ​​ Determine the exact values of the three trigonometric functions csc, sec, and cot of the angle θ. ​ ​​   where   ​ where Determine the exact values of the three trigonometric functions csc, sec, and cot of the angle θ. ​ ​​   where   ​ ​

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Convert 134°24´40´´ to degree-decimal form.Round answer to three decimal places.

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The displacement from equilibrium of an oscillating weight suspended by a spring is given by ​ The displacement from equilibrium of an oscillating weight suspended by a spring is given by ​   ​ Where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when   .(Round your answers to nearest tenth.) ​   ​ ​ Where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when The displacement from equilibrium of an oscillating weight suspended by a spring is given by ​   ​ Where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when   .(Round your answers to nearest tenth.) ​   ​ .(Round your answers to nearest tenth.) ​ The displacement from equilibrium of an oscillating weight suspended by a spring is given by ​   ​ Where y is the displacement in centimeters and t is the time in seconds (see figure).Find the displacement when   .(Round your answers to nearest tenth.) ​   ​ ​

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Given the equation below, determine two solutions such that Given the equation below, determine two solutions such that   . ​cos θ =  . ​cos θ = Given the equation below, determine two solutions such that   . ​cos θ =

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