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term - MAT 1004A Term test#1 Total marks 30 points 1...

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MAT 1004A Term test #1 1 October 2009 Total marks: 30 points Non-programmable calculators are permitted. This test is closed book. Supply your answers on this sheet , but TA’s have extra paper if you need it. PLEASE PRINT SOLUTION First name Last name Student number Please show your work where appropriate! 1. [2 marks] Find the domain of h if: ( 29 ) 2 ( 3 2 3 2 + - = + - = x x x x x x x h 2 0 2 ) 3 0 ) 2 3 0 3 ) 1 - + - x x x x x ( ( ( ] { } 3 , 0 0 , 2 2 , : U U - - - x f dom 2. Let θ be an angle in radians such that: 2 π θ π - < < - a. [1] The terminal side is in quadrant _3___ b. [3] Find the exact ratios θ cos and θ tan if 3 2 sin - = θ NB – Show your work (the diagram helps). By “ exact ratios” it is meant a ratio of the form 2 3 , etc… no decimals! 5 2 3 2 2 - = - - = b 5 5 2 5 2 tan 3 5 3 5 cos = - - = - = - = θ θ and 3. Let x x g x x f - = = 5 ) ( and 1 ) ( 2 find a rule for: a. [2] )) ( ( ) ( x g f x g f = o ( 29 ( 29 x x x g x g f - = - = = 5 1 5 1 ) ( 1 )) ( ( 2 2 b. [2] )) ( ( ) ( ) ( x f f g x f f g = o o ( 29 [ ] [ ] 4 2 2 2 5 1 1 5 ) ( 1 5 )) ( ( 5 )) ( ( ) ( ) ( x x x f x f f f f g x f f g x - = - = - = - = = o o 4.
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