2. Prove the trigonometric identity below. Complete a formal LS/RS proof showing all individual steps and a concluding statement. [6 marks] cos(2x) cotx-1 = 19 1+sin(2x) cotx+11. In 1819 when the Arva flour mill started production, it had an outside water wheel that used the energy of the water to pound the wheat into flour. One paddle of the wheel was observed on a spring day and its height above the water was measured, in metres, over time (sec). The function h(t) = 6 + 9cos(7t) models the height, h, in metres of the observed paddle above the water over time, t, seconds. At what times during the first two rotations is the paddle above the ground? Provide a fully narrated and justified algebraic solutions. Round to 1 decimal if applicable. 1 [8 marks]