1. The height of the water, H, in feet, at a boat dock t hours after 6A.M. is given by H (t) = 10 + Asinst a. Find the height of the water at the dock at 6A.M., 9A.M., noon, 6P.M., midnight, and 3A.M. b. Give the time of day when low tide occurs and when high tide occurs? c. What is the period of this function and what does this mean about the tides? 2. Find the exact value of each trigonometric function without using a calculator. Show your work. a. sin (- 27) b. csc 9x c. -cot (# + 17#) d. cos ( - # - 10007)3. Given a point P(x, y) on the unit circle, corresponding to an angle, t.Find the values of all 6 trigonometric functions at t. a. P( - H, 17) b. P( - 3s, - 13) c. P(12, -12) d. P(13, 18) 4. Use an identity to find the value of each expression without using a calculator. Show your work. a. sin? () +cos? (#) b. sec? () -tan?() c. cos(2.3)sec(2.3) d. csc? (#)-cot? (#) e. sin(1.7)csc(1.7)