Find all solutions in given domain: 3sin2x=2.7 (0<x<180°) 5cos(x-π)=4 (0<x<2π) tan2(x-90)=√3 (-90°<x<90°) Ex 35.3 p.340

2.9 Trigonometry Equations 1. Read the Question! 2. Degrees or Radians? If in doubt, it must be radians. 3. Draw the graph on your calculator. 4. Adjust the V-Window 5. Draw the graph on your page as accurately as you can. Include:X – intercepts Y – intercepts Period (how long to complete 1 revolution) 6. Read the Question again! 7. Draw on any other information you need. This is usually a horizontal line (Y= …) 8. Find the appropriate x (or y) values you need. Remember, these graphs are symmetrical, you may need to include symmetry lines to help you identify correct areas.

The height above ground of a person on a Ferris wheel can be modelled by h=15sin80(t+16.9)+17 (h in metres, t=time in min after getting on, angle in degrees) a.Find the maximum height the person reaches b.Find the time taken for the wheel to make one complete revolution c.Find the height above ground of a person on a ride 2 minutes after they pass the bottom.

The water depth at the end of a pier can be modelled by d=6+1.3Cos0.5t (d=depth of water (m), t=number of hours after high tide) a.Find the difference in water depth between high tide & low tide b.How many hours between a high tide & a low tide? c.If a high tide was at 2.30am, at what time (during the following day) will the water be 5m deep?

The times of sunrise at a certain location can be modelled by a curve in the form: t=AsinB(d-C)+D where t is the time of sunrise (in minutes since midnight) and d is the day number of the year (1-365) Find the values of A,B,C,D given that: – The earliest sunrise is at 4.55am on 17 th Dec (day 351) – The latest sunrise is 7.35am on 17 th June (day 169) Ex 33.3 p.311