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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...

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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 Quiz #16 Quiz #17 Quiz #18 Quiz #19 Quiz #20 Quiz #21
Transcript
  • Slide 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
  • Slide 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
  • Slide 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
  • Slide 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!
  • Slide 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!
  • Slide 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.
  • Slide 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.
  • Slide 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!
  • Slide 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!
  • Slide 10
  • Menu Trigonometric Values of Special Angles Complete the following table. Answers must be exact. sin cos tan 00 30 45 60 90
  • Slide 11
  • Menu Trigonometric Values of Special Angles Complete the following table. Answers must be exact. sin cos tan 00 30 45 60 90
  • Slide 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 = _________
  • Slide 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 = _________
  • Slide 14
  • Menu Give exact answers. No calculators!
  • Slide 15
  • Menu Give exact answers. No calculators!
  • Slide 16
  • Menu Angle Smallest Positive Coterminal Angle Reference Angle 582 -260
  • Slide 17
  • Menu Angle Smallest Positive Coterminal Angle Reference Angle 582 -260
  • Slide 18
  • Menu Angle Smallest Positive Coterminal Angle Reference Angle 200 -300
  • Slide 19
  • Menu Angle Smallest Positive Coterminal Angle Reference Angle 200 -300
  • Slide 20
  • Menu Angle Smallest Positive Coterminal Angle Reference Angle Degrees0030456090150 Radians
  • Slide 21
  • Menu Angle Smallest Positive Coterminal Angle Reference Angle Degrees0030456090150 Radians
  • Slide 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) =
  • Slide 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) =
  • Slide 24
  • Menu
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  • Slide 28
  • Complete the following identities:
  • Slide 29
  • Menu Complete the following identities:
  • Slide 30
  • Menu FunctionDomainRange f(x) = sin -1 x g(x) = cos -1 x h(x) = tan -1 x
  • Slide 31
  • Menu FunctionDomainRange f(x) = sin -1 x g(x) = cos -1 x h(x) = tan -1 x
  • Slide 32
  • Menu
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  • Slide 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) =
  • Slide 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) =
  • Slide 38
  • Menu
  • Slide 39
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  • Slide 42
  • Convert from Polar to Cartesian: (0, 120) = (___, ___) (7, -45) = (___, ___) r = 3sin - 4cos __________________ Convert from Cartesian to Polar: (0, 12) = (___, ___) (7, -7) = (___, ___) 2xy = 1 __________________ Determine the Polar coordinates for the point (-5, 200) that satisfies the following criteria: r > 0 & 0 < < 360 (___, ___) r < 0 & -360 < < 0 (___, ___)
  • Slide 43
  • Menu Convert from Polar to Cartesian: (0, 120) = (___, ___) (7, -45) = (___, ___) r = 3sin - 4cos __________________ Convert from Cartesian to Polar: (0, 12) = (___, ___) (7, -7) = (___, ___) 2xy = 1 __________________ Determine the Polar coordinates for the point (-5, 200) that satisfies the following criteria: r > 0 & 0 < < 360 (___, ___) r < 0 & -360 < < 0 (___, ___)

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