d Use the identity sin 2x =2 sin x cos x to find a(sin 2x). Then use the identity 2 cos 2x = cos \"x - sin x to express the derivative of sin 2x in terms of cos 2x. d Find a(sin 2%) using sin 2x=2 sinx cos x. d E(sm 2%)= |2 cos (2x) Express the derivative of sin 2x in terms of cos 2x using cos 2x = cos 2x-sin'x. d X (sin 2= A surface ship is moving in a straight line (horizontally) at 8 km/hr. At the same time, an enemy submarine maintains a position directly below the ship while diving at an angle that is 35 below the horizontal. How fast is the submarine's altitude decreasing? Let x be the distance traveled by the surface ship and y be the altitude of the submarine. Write an equation relating x and y. Choose the correct answer below. O A. sin (35) = - O B. cos (35 ) = 7 O c. tan (35) = _ O D. cos (35) = - O E. tan (35) = - OF. sin (35) = = Differentiate both sides of the equation with respect to t. Choose the correct answer below. dy 1 dx dx O A. dt - tan (35) dt OB. - = sin (35 ) dt dy 1 O C. = cos (350)- dx O D. dt cos (35 ) dt dy dx dx OE. dt sin (35 ) dt OF. dy - = tan (35)- The altitude of the submarine is decreasing at a rate of about 5.60 km/hr. (Do not round until the final answer. Then round to two decimal places as needed.)\f