{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

This preview shows pages 1–2. Sign up to view the full content.

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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}