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Find all solutions in given domain:

Find all solutions in given domain:. 3sin2x=2.7 (0<x<180 ° ) 5cos(x- π )=4 (0<x<2 π ) t an2(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.

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Find all solutions in given domain:

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  1. 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. 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.

  3. 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) • Find the maximum height the person reaches • Find the time taken for the wheel to make one complete revolution • Find the height above ground of a person on a ride 2 minutes after they pass the bottom.

  4. 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) • Find the difference in water depth between high tide & low tide • How many hours between a high tide & a low tide? • If a high tide was at 2.30am, at what time (during the following day) will the water be 5m deep?

  5. 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 17th Dec (day 351) • The latest sunrise is 7.35am on 17th June (day 169) Ex 33.3 p.311

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