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Menu Trigonometry Quizzes Quiz #1 Quiz #2 Quiz #3 Quiz #4 Quiz #5 Quiz #6 Quiz #7 Quiz #8 Quiz #9 Quiz #10 Quiz #11 Quiz #12 Quiz #13 Quiz #14 Quiz #15.

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Presentation on theme: "Menu Trigonometry Quizzes Quiz #1 Quiz #2 Quiz #3 Quiz #4 Quiz #5 Quiz #6 Quiz #7 Quiz #8 Quiz #9 Quiz #10 Quiz #11 Quiz #12 Quiz #13 Quiz #14 Quiz #15."— Presentation transcript:

1 Menu Trigonometry Quizzes Quiz #1 Quiz #2 Quiz #3 Quiz #4 Quiz #5 Quiz #6 Quiz #7 Quiz #8 Quiz #9 Quiz #10 Quiz #11 Quiz #12 Quiz #13 Quiz #14 Quiz #15 Quiz #16 Quiz #17 Quiz #18 Quiz #19 Quiz #20 Quiz #21

2 Menu Definitions of Trigonometric Values of Acute Angles of a Right Triangle For the triangle at the right … sin  = __________ cos  = __________ tan  = __________ cot  = __________ sec  = __________ csc  = __________ a b c 

3 Menu Definitions of Trigonometric Values of Acute Angles of a Right Triangle For the triangle at the right … sin  = __________ cos  = __________ tan  = __________ cot  = __________ sec  = __________ csc  = __________ a b c 

4 Menu Definitions of Trigonometric Values of Acute Angles of a Right Triangle For the triangle at the right … sin  = __________ cos  = __________ tan  = __________ cot  = __________ sec  = __________ csc  = __________ 24 10 26  Simplify your answers by reducing any fractions!

5 Menu Definitions of Trigonometric Values of Acute Angles of a Right Triangle For the triangle at the right … sin  = __________ cos  = __________ tan  = __________ cot  = __________ sec  = __________ csc  = __________ 24 10 26  Simplify your answers by reducing any fractions!

6 Menu Trigonometric Values of the Acute Angles of a Right Triangle. Given that cot  = 1.5, determine the following: sin  = ______ cos  = ______ tan  = ______ sec  = ______ csc  = ______ a b c  Hint: Let 1.5 = 3/2 and determine the values of a, b, and c in the diagram.

7 Menu Trigonometric Values of the Acute Angles of a Right Triangle. Given that cot  = 1.5, determine the following: sin  = ______ cos  = ______ tan  = ______ sec  = ______ csc  = ______ a b c  Hint: Let 1.5 = 3/2 and determine the values of a, b, and c in the diagram.

8 Menu Trigonometric Values of the Acute Angles of a Right Triangle. a = 6 b = 8 c = 10 -------------------- sin  = ______ cos  = ______ tan  = ______ sec  = 5 -------------------- sin  = ______ cos  = ______ tan  = ______ cot  = ______ csc  = ______ a b c  Simplify your answers by reducing any fractions!

9 Menu Trigonometric Values of the Acute Angles of a Right Triangle. a = 6 b = 8 c = 10 -------------------- sin  = ______ cos  = ______ tan  = ______ sec  = 5 -------------------- sin  = ______ cos  = ______ tan  = ______ cot  = ______ csc  = ______ a b c  Simplify your answers by reducing any fractions!

10 Menu Trigonometric Values of Special Angles Complete the following table. Answers must be exact.  sin  cos  tan  0º0º 30º 45º 60º 90º

11 Menu Trigonometric Values of Special Angles Complete the following table. Answers must be exact.  sin  cos  tan  0º0º 30º 45º 60º 90º

12 Menu Solve the Following Triangles (Use a calculator and round answers to 1 decimal place.) AC B a b c A = _________ B = _________ C = 90° a = _________ b = 7 c = 10 A = 52° B = _________ C = 90° a = 17 b = _________ c = _________

13 Menu Solve the Following Triangles (Use a calculator and round answers to 1 decimal place.) AC B a b c A = _________ B = _________ C = 90° a = _________ b = 7 c = 10 A = 52° B = _________ C = 90° a = 17 b = _________ c = _________

14 Menu Give exact answers. No calculators!

15 Menu Give exact answers. No calculators!

16 Menu Angle Smallest Positive Coterminal Angle Reference Angle 582º -260º

17 Menu Angle Smallest Positive Coterminal Angle Reference Angle 582º -260º

18 Menu Angle Smallest Positive Coterminal Angle Reference Angle 200º -300º

19 Menu Angle Smallest Positive Coterminal Angle Reference Angle 200º -300º

20 Menu Angle Smallest Positive Coterminal Angle Reference Angle Degrees0º0º30º45º60º90º150º Radians

21 Menu Angle Smallest Positive Coterminal Angle Reference Angle Degrees0º0º30º45º60º90º150º Radians

22 Menu 1.Find the coterminal angle between 0 and 2  for each of the following: -5  /6 8  /3 2.Find the reference angle (between 0 and  /2) for each of the following: 3  /4 5  /6 3.Give the following trig values: sin(  /6) = cos(3  /4) = tan(-  /3) =

23 Menu 1.Find the coterminal angle between 0 and 2  for each of the following: -5  /6 8  /3 2.Find the reference angle (between 0 and  /2) for each of the following: 3  /4 5  /6 3.Give the following trig values: sin(  /6) = cos(3  /4) = tan(-  /3) =

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28 Complete the following identities:

29 Menu Complete the following identities:

30 Menu FunctionDomainRange f(x) = sin -1 x g(x) = cos -1 x h(x) = tan -1 x

31 Menu FunctionDomainRange f(x) = sin -1 x g(x) = cos -1 x h(x) = tan -1 x

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36 1.State ONE of the Pythagorean identities. 2.State ONE of the double angle identities. 3.State ONE of the sum/difference identities. 4.Evaluate the following (exact answers without a calculator): a.sin (7  /6) = b.arctan (-1) = c.cos -1 (-1/2) = 5.Evaluate the following (use a calculator and round to 2 decimal places): a.csc (1.8) = b.cot -1 (5) = c.arcsec (0.3) =

37 Menu 1.State ONE of the Pythagorean identities. 2.State ONE of the double angle identities. 3.State ONE of the sum/difference identities. 4.Evaluate the following (exact answers without a calculator): a.sin (7  /6) = b.arctan (-1) = c.cos -1 (-1/2) = 5.Evaluate the following (use a calculator and round to 2 decimal places): a.csc (1.8) = b.cot -1 (5) = c.arcsec (0.3) =

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42 Convert from Polar to Cartesian: (0, 120º) = (___, ___) (7, -45º) = (___, ___) r = 3sin  - 4cos   __________________ Convert from Cartesian to Polar: (0, 12) = (___, ___º) (7, -7) = (___, ___º) 2xy = 1  __________________ Determine the Polar coordinates for the point (-5, 200º) that satisfies the following criteria: r > 0 & 0º <  < 360º  (___, ___º) r < 0 & -360º <  < 0º  (___, ___º)

43 Menu Convert from Polar to Cartesian: (0, 120º) = (___, ___) (7, -45º) = (___, ___) r = 3sin  - 4cos   __________________ Convert from Cartesian to Polar: (0, 12) = (___, ___º) (7, -7) = (___, ___º) 2xy = 1  __________________ Determine the Polar coordinates for the point (-5, 200º) that satisfies the following criteria: r > 0 & 0º <  < 360º  (___, ___º) r < 0 & -360º <  < 0º  (___, ___º)


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