100. Videography A television camera at ground level films the lift-off of a space shuttle at a point 750 meters from the launch pad (see figure). Let @ be the angle of elevation to the shutthe and let bt the height of the shuttle. a. Write # as a function of & b. Find # when & = 300 meters and & = 1200 meters. D 1. Convert the angle measure from degrees to radians. Round your answer to three decimal places. O O O O O 65 65 = 1.034 radians 65 = 1.434 radians 65 = 1.134 radians 65 = 0.065 radian 65 = 6.897 radians 2. Use the value of the trigonometric function to find sin (t + IT). sin t = sin (t + 7) = sin(t + 71 ) = - sin(1 + 7) = - 6 5 O sin (t + IT) = 00 O sin (t + 7) =3. Evaluate the trigonometric function using its period as an aid. 11 n sin 6 O 11 n sin - V2 6 2 O sin 11 n 6 = 2 sin( 1175 - -2 O sin 11 n 6 2 O 11 n sin = 00 6D 4. Find the point (x, ) on the unit circle that corresponds to the real number 7. I LN ~ ) b LA = = 3 corresponds to the point = 3 corresponds to the point I = corresponds to the point corresponds to the point q t= 3 corresponds to the point 5. Complete the table. 0.7 0.8 0.9 1.1 sin e Round your answer to four decimal places.)6. Using trigonometric identities, determine which of the following is equivalent to the following expression. tan 0 + cot e O csc 0 sec 0 O sec 0 + csc 0 O 1 csc @ + sin e cos 0 + sec e7. Construct an appropriate triangle to complete the table. 0 0 90, 0' ses 2 Function (deg) e(rad) Function Value sin 450D 8. Determine whether the statement is true or false. Justify your answer. In each of the four quadrants, the signs of the cosec function and cosine function will be the same. O False. In each of the four quadrants, the signs of the cosec function and the sine function will be the same because these functions are reciprocals of each other. O True. \f10. Determine the period and amplitude of the following function 3x y = 6 cos 4 N/ 5 3 . -6.28 -3.14 3.14 6.28 Period: I; Amplitude: 6 Period: 10 / ; Amplitude: 12 Period: 5 7 ; Amplitude: 5 O Period: 4 7 ; Amplitude: 7W 11. Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window. x2 g(x) = e 2 sinx12. Find the altitude of the isosceles triangle shown in the figure. Round your answer to two decimal places. b 0 = 450, b = 11 7.50 2.00 11.00 5.50 22.00W 13. A ball that is bobbing up and down on the end of a spring has a maximum displacement of 3 inches. Its motion (in ideal conditions) is modeled by y = = cos 16t (t > 0). where y is measured in feet and t is the time in seconds. What is the period of the oscillations? O 5 O 16 O 16 O OD 14. What relationship do tangent and cotangent have to each other? Be sure to explain how you know that, or show it. l:l 15. How are the GRAPHS of sin x and cos x different? How are they similar? Explain, in detail, your