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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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#### sin cos tan

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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
• Slide 15
• 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
• Slide 21
• 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
• Slide 25
• Slide 26
• Slide 27
• 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
• Slide 33
• Slide 34
• Slide 35
• 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
• Slide 39
• Slide 40
• Slide 41
• 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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