Verify the following trigonometric identity by filling in the blanks with tiles (Note: for all, "'n" means "raised to the power of n". Best practice: rewrite this identity on your paper to see it better.): tan(x] sin 4(x)= tan(x] - sin(2x) + sin(x]cos 3(x) tan(x tan(x) (1 - cos 2(x]]"2= tan(x] (1- + COS 4(x]) = - 2tan(x]cos 2(x] + tan(x] - 2(sin(x)/cos(x]]cos 2(x) +(sin(x]/cos(x])cos"4(x] = tan(x]- 2sin(x]cos(x] + tan(x] sin(x]cos 3(x) sin(2x] tan(x] 2cos 2(x) sin(x]cos-3(x) sin 4(x) tan(x)cos 4(x] DONThe difference in length of a spring on a pogo stick from its noncompressed length when a teenager isjumping on it after 0 seconds can be described by the function y = 252.7"? ' VE PartA: Determine. algebraically, all values where the pogo stick's spring will be equal to its noncompressed length. Show all necessary calculations. (5 points) Part B: If the angle was doubled, that is El became 28. what are the solutions in the interval [0. 211}? Solve algebraically and show all necessary calculations. How do these compare to the original function? (6 points) Part C' An adult and a toddler are jumping on two different pogo sticks where the length of the springs can be represented by the function y = 2cos(8) +1 and y = sin2(6) 1. At what times are the springs from the pogo sticks lengths equal? Solve algebraically and show all necessary calculations. (6 points) 'Collapse " Instructions to see Grading Rubric* *Please DO NOT use text tool use DRAW or UPLOAD image of work instead