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Quiz 7 Solutions
Course: MATH 115, Fall 2009School: South Carolina
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7 Quiz Math 115-007 November 5, 2009 1. (12 points) Given cos() = Name: ______________________ 1 (with in Quadrant I), find the following using the 3 appropriate double-angle or half-angle formula: 8 sin( ) = 3 sin( 1 1- )= 3 2 2 1- 2 1 8 cos( 2 ) = - 3 3 1 1+ cos( ) = 3 2 2 2 1 3 tan( ) = 1 2 1+ 3 1 8 sin( 2 ) = 2 3 3 2. (2 points each) Find the following trigonometric values using...
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7 Quiz Math 115-007 November 5, 2009 1. (12 points) Given cos() =
Name: ______________________
1 (with in Quadrant I), find the following using the 3 appropriate double-angle or half-angle formula: 8 sin( ) = 3 sin( 1 1- )= 3 2 2 1-
2 1 8 cos( 2 ) = - 3 3 1 1+ cos( ) = 3 2 2 2
1 3 tan( ) = 1 2 1+ 3
1 8 sin( 2 ) = 2 3 3
2. (2 points each) Find the following trigonometric values using half-angle or sumand difference-identities.
3 1 - ) cos( 1- a. sin( ) = 6 = 2 12 2 2
5 ) 1- 4 = 5 1 + cos( ) 1+ 4 1 - cos( 2 2 2 2 1- 2 3 2
5 b. tan( )= 8
c. cos( 105 ) = 1 + cos(210 ) = 2
o o
3. (6 points) Using the identity sin cos =
1 [ sin( + ) + sin( - )] 2 a. Rewrite sin 12 o cos 9 o as the sum of two sines (you do not need to evaluate the final expression). 1 sin 12 cos 9 = [ sin(12 + 9) + sin(12 - 9)] 2 3 7 b. Evaluate sin( ) cos( ) 4 6 3 7 1 3 7 3 7 sin cos = sin( + ) + sin( - ) 4 6 2 4 6 4 6
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South Carolina - MATH - 115
Quiz 7 Math 115-007 November 5, 2009 1. (12 points) Given cos() =Name: _1 (with in Quadrant I), find the following using the 3 appropriate double-angle or half-angle formula: sin( ) = cos( 2 ) =sin( )= 2 )= 2cos( )= 2tan(sin( 2 ) =2. (2 points ea
South Carolina - MATH - 115
Test 3 Math 115-007 October 29, 2009 1. (6 points each) Solve each equation for x. a. log( x) + log(5) = log(2 x + 10) log(5 x) = log(2 x + 10) 5 x = 2 x + 10 3 x = 10 10 x= 3 b. 2 x + 2 = 8 - x +1 2 x + 2 = (2 3 ) - x +1 2 x + 2 = 2 -3 x + 3 x + 2 = -3 x
South Carolina - MATH - 115
Test 3 Math 115-007 October 29, 2009 1. (6 points each) Solve each equation for x. a. log( x) + log(5) = log(2 x + 10)Name: _b. 2 x + 2 = 8 - x +12. (6 points each) Evaluate the following angles at all six trigonometric functions 3 a. 2 3 3 sin( ) = se
South Carolina - MATH - 115
Quiz 6 Name: _ Math 115-007 October 22, 2009 1. (6 points each) Evaluate the following angles at all six trigonometric functions 3 a. 4 3 2 3 sin( ) = sec( ) = - 2 4 4 2 3 3 2 csc( ) = 2 cos( ) = - 4 4 2 3 3 cot( ) = -1 tan( ) = -1 4 4 11 b. 6 11 1 11 2 s
South Carolina - MATH - 115
Quiz 6 Name: _ Math 111-007 October 22, 2009 1. (6 points each) Evaluate the following angles at all six trigonometric functions 3 a. 4b.11 62. (6 points each) For the following functions, find the amplitude, period, phase shift, frequency, vertical tr
South Carolina - MATH - 115
Quiz 5 Math 115-007 October 15, 2008Name: _1. (5 points) Let 2 x = 19 . Rewrite this equation using log 2 notation (use the definition of logarithm). log 2 19 = x 2. (5 points each) Solve for x: 1 -x + 2 = a. 2 16 2 - x + 2 = 2 -4 - x + 2 = -4 x=6 b. lo
South Carolina - MATH - 115
Quiz 5 Math 111-007 October 15, 2008Name: _1. (5 points) Let 2 x = 19 . Rewrite this equation using log 2 notation (use the definition of logarithm).2. (5 points each) Solve for x: 1 -x + 2 = a. 2 16b. log( x + 4) + log( x - 4) = log( x 2 + 4 x + 4)3
South Carolina - MATH - 115
Test 2 Name: _ Math 115 001 September 11, 2008 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. 1. (Matching, 1 p
South Carolina - MATH - 115
Test 2 Name: _ Math 115 001 September 11, 2008 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. 1. (Matching, 1 p
South Carolina - MATH - 115
Quiz 4 Name: _ Math 115 007 September 24, 2008 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. 1. (Matching, 5 p
South Carolina - MATH - 115
Quiz 4 Name: _ Math 115 007 September 24, 2008 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. 1. (Matching, 5 p
South Carolina - MATH - 115
Quiz 3 Name: _ Math 115 007 September 17, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. 1. (2 points each
South Carolina - MATH - 115
Quiz 3 Name: _ Math 115 007 September 17, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. 1. (2 points each
South Carolina - MATH - 115
Test 1 Name: _ Math 115 007 September 10, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. No calculators or
South Carolina - MATH - 115
Test 1 Name: _ Math 115 007 September 10, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. No calculators or
South Carolina - MATH - 115
Quiz 2 Name: _ Math 115 007 September 3, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. No calculators or
South Carolina - MATH - 115
Quiz 2 Name: _ Math 115 007 September 3, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. No calculators or
South Carolina - MATH - 115
Quiz 1 Name: _ Math 115 007 August 27, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. No calculators or ou
South Carolina - MATH - 115
Quiz 1 Name: _ Math 115 007 August 27, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. No calculators or ou
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South Carolina - CHEM - 333
South Carolina - CHEM - 333
South Carolina - CHEM - 333
South Carolina - CHEM - 333
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South Carolina - CHEM - 333
South Carolina - CHEM - 333
South Carolina - CHEM - 333
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South Carolina - CHEM - 333
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South Carolina - CHEM - 333
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South Carolina - CHEM - 333
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