8b midterm 1

8b midterm 1 - f ( x ) = tan(arcsin( x )) 6. Find the exact...

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Math 8B Midterm1 Sample Problems Jan 23, 2008 The following problems are problems like some of the ones you will encounter on the midterm1. A number of other problem types from the homework will be there too. 1
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1. What is the domain and range of the following functions: a.) f ( x ) = q 2 - x. b.) f ( x ) = 1 4 - x 2 . 2. Find the exact value of the following(do not need to show work) sin 2 π 3 , cos 3 π 4 , tan 11 π 6 , sec 3 π 4 , tan π 2 . 3. Find the exact value in radians: tan - 1 ( 3), sin - 1 ( - 1 2 ). 4. Use an identity to find the exact value of: sin( 11 π 12 ). 5. Find an equivalent algebraic equation for
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Unformatted text preview: f ( x ) = tan(arcsin( x )) 6. Find the exact value of sin( tan-1 ( 1 4 )). 7. Verify the following identity: csc x-1 cot x = cot x cot x + 1 . 8. Verify the following identity: tan 2 x = 1-cos(2 x ) 1 + cos2 x . 9. Graph one cycle of the following function and label 3 points: y =-2sin( x + π 3 ) + 3. 10.Graph one cycle of the following function and label all the asymptotes: y = tan( x 3 ) . 11. Find all real numbers that satisfy the following equation: cos x =-1 2 . 2...
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This test prep was uploaded on 04/15/2008 for the course MATH 8b taught by Professor Apoorva during the Winter '07 term at UC Riverside.

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8b midterm 1 - f ( x ) = tan(arcsin( x )) 6. Find the exact...

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