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1.4 Evaluating Trig Functions: Exact and Approximate Values

1.4 Evaluating Trig Functions: Exact and Approximate Values. JMerrill, 2009. Exact. Recall: 30 o -60 o -90 o Triangles Example on Board. Trig Values – See page 39. Approximate Values. sin 75 o ≈ 0.9659 tan 67 o ≈ 2.3559 sec 52 o ≈ 1.6247. Revolutions & Partial Degrees .

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1.4 Evaluating Trig Functions: Exact and Approximate Values

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  1. 1.4 Evaluating Trig Functions:Exact and Approximate Values JMerrill, 2009

  2. Exact • Recall: 30o-60o-90o Triangles • Example on Board

  3. Trig Values – See page 39

  4. Approximate Values • sin 75o ≈ 0.9659 • tan 67o ≈ 2.3559 • sec 52o ≈ 1.6247

  5. Revolutions & Partial Degrees • A common unit for measuring very large angles is the revolution, a complete circular motion (360o). • A common unit for measuring smaller angles is the degree, of which there are 360 in one revolution. So, ¼ of a revolution is 90o. • Angles are more precisely measured by dividing 1 degree into 60 minutes and 1 minute into 60 seconds. This gives us very precise locations in any space (latitudes and longitudes). • Example: 25 degrees, 20 minutes, 6 seconds is written 25o20’6”

  6. Degrees Con’t • To do by hand: • 25o20’6” = • You try: • 43o28’12”= • Now, let’s look at these same 2 problems and do them on the calculator. You will use the Angle menu (2nd apps).

  7. Add/Subtract in DMS • 35o21’42” • + 7o 5’30” • 42o26’72” which changes to 42o27’12”

  8. Converting to DD • Convert 17o39’22” to decimal degrees. Round to the nearest thousandth • 17.656o

  9. Evaluate • sin (18o10’) • ≈ .3118 • sec (20.524o) • ≈1.149

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