provide the each step of answer for all scene

Scene #3 Platonic Academy -- Athens, Greece A passerby noticed the archaeological site of the former Platonic Academy was disturbed. A few shovels were around and investigators found this note carved in the ground. I hope you brought a water bottle because you need to be ready for a marathon. Get it?! A Marathon! Like a real Marathon from Marathon to Athens, but instead out water check points you do trig problems. You get it? Don't mess up. Marathon Assume that the angle in each problem sin(u) = = is an acute angle in a right triangle. Each Answer should be in RADIANS and rounded to the nearest THOUSANDTH cos(v) = NIE O10km csc (x) = O 20km 30km O tan(w) = = sec(a) = - Athens Round your final answer for 'a' to the nearest thousandth. a =Scene #4 Epidaurus Theater -- Delphi, Greece Witnesses claim that Pythagorean Tanlines posed as a Byzantine cover band and snuck away with rows of limestone seats. The smooth sound waves of the local Byzantine band really sparked some trigonometric inspiration from me. I'm sure that you understand. Sound waves from two different instruments are modeled. Sure one is cosine and the other is sine, but do they have any similarities? Lyra Aulos Which are the same between the two instrucments? f [x] = 1.75sin[2x + n] Amplitude e = 100 Period h = 110 2n Both n = 120 Neither S = 130Scene #5 Acropolis -- Athens, Greece A security guard noticed this morning that one of the great marble columns was stolen in the middle of the night. Investigators believe Tanlines plans to use it as a tower for the World Conquering Device. Something I learned on my little theft vacation is the Greeks love hang gliding I thought I'd give it a whirl with a puzzle. A Hang Glider cruises above the Parthenon at a constant altitude at 12 M/S. She looks down to the top of the Parthenon with an 13.72m angle of depression of 15". One minute later, 150 m she looks down at an angle of 52". above sea level If the Parthenon is 13.72 m tall and the building sits 150 m above sea level. Approximately, how many meters above sea level is the glider? 408 m 512 m 665 m e = 408 h = 512 S = 665Scene #6 Olympia Stadium -- Olympia, Greece Pythagorean Tanlines snuck past 50 security guards and stole the original Olympic Torch. Some local believe this connects the holder to the God, Zeus. Did you really think that I'd rob all of Greece and you'd not see a puzzle with a ring? I've decided to build my own Unit Circle Olympic Stadium. I have 16 seats and 5 tickets have already been purchased for the Opening Ceremony (in which I will teach the young people how to "Dougie") Seats Sold 19n 1. 4 0 2. 780 3. Which quadrant has the most tickets sold? sin (t) = NSIN MI II III IV cos(t) = sin ()= e= 1 h = 2 n=3 S= 4 5. cos(t) =CRYPTIC PUZZLE SOLVER TEXT MESSAGE Round this to the nearest integer. A . T + H - E : N : S ~Yours forever, Pythagorean TanlinesScene #1 Archaeological Museum of Marathon -- Marathon, Greece After running a full marathon race, Pythagorean Tanlines snuck into a local museum and escaped with nine marble statues. Investigators found this note written on the ceiling. While I, Pythagorean Tanlines, named myself after one of the most famous Greek Trigonometers, I figured I'd give these three jokers a chance to prove that they know anything. They all believe they are #1... or rather than when you simplify their trigonometric expression it equal 1. Are they right? SOCRATES PLATO ARESTO+LE 1-cost sin t -cott (cos("-t))2 sin't 1-sin't cost-tant How many have a result equal to 1? Z W e=1 h = 2 n= 3