M17 LE4 Sem1 1011

# M17 LE4 Sem1 1011 - point-1 2 3 Express sec 62 π 11 as a...

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MATHEMATICS 17 Fourth Long Exam 1st Sem / AY 2010-2011 I. Write TRUE if the given statement is always true. Otherwise, write FALSE. 1 point each 1. The value of csc 3 . 14 is positive. 2. The angles 13 π 9 and - 140 are coterminal. 3. The domain of f ( x ) = csc x is R \{ 2 | k Z } . 4. The function g ( x ) = sin x cos x is odd. 5. The period of the function h ( x ) = cot x is 2 π . II. Do as indicated. 4 points each 1. Find the exact value of the following: (a) cos( - 555 ) (b) sin 19 π 24 cos 25 π 24 (c) 4 cos 4 ± 3 π 8 ² - 1 2 cos 2 ± 3 π 8 ² + 1 2. Find all trigonometric functions of θ if θ is an angle in standard position whose terminal side contains the
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Unformatted text preview: point (-1 , 2). 3. Express sec 62 π 11 as a function of a positive angle less than π 4 . III. Prove the identity: sin 2 x 4sec x-4tan x + sin 2 x 4sec x + 4tan x = sin x 5 points IV. Given: tan α = 1 3 and P ( α ) ∈ QIII cos 2 β =-3 5 and-π < 2 β < Determine the exact value of the following. 5 points each 1. P ( α ) 2. cot β 3. cos 3 α 4. csc(2 β-α ) * END OF EXAM * TOTAL: 50 POINTS /ajdporlante 09.21.10/ 1...
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