Answer Happy

Please solve problem no. 2
1. Draw the unit circle. Label all degree and radian measures. Label all ordered pairs. (no citation needed for this) 2. Solve for A. sin(A +10°) = cos (34) 3. For the point (-1,-4) give the exact values for all 6 trig functions. Plot the point and sketch the angle. 4. Solve the right triangle. Draw a diagram. Approximate to the nearest tenth. a= 3ft, c= 6ft 5. A smaller gear drives a larger gear. The smaller gear has a diameter of 10cm. The larger gear has a diameter of 13cm. If the smaller gear turns 720 degrees, find the degree measure that the larger gear rotates. Give your answer in degrees or radians, an exact value is preferred, but you may round to the nearest tenth. 6. A motion detection security camera is placed in the corner of a room in which the walls create a right angle. The maximum distance the camera can detect motion is 50 feet. Find the amount of area that the camera can detect movement. Round to the nearest tenth or give the exact value. 7. Find the linear speed in feet per second of a 30" diameter wheel turning 2.5 revolutions per second. You may approximate to the nearest tenth or give the exact value. 8. Give the amplitude, period, frequency, phase shift, and vertical translation for the function. Give exact values. y = -2 sin(TTX - 1)-5 9. A 10" diameter boat prop is at equilibrium when t=0 then begins rotating at 125 revolutions per second. Give the simple harmonic motion function that models this scenario. Show all necessary work and give exact values. 10. An object is oscillating according to the function s(t) = -3cos (6) a. What is the object's position when t=3? (give the exact value) b. What is the maximum height? C. How long does it take for one full oscillation?