M17 LE5 Sem1 1011 - 5 points each 1. Jun observed from a...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MATHEMATICS 17 Removal Exam 1st Sem / AY 2010-2011 I. Write TRUE if the given statement is always true. Otherwise, write FALSE. 1 pt each 1. If x is any real number, then x x 2 . 2. cot ± cos - 1 ² - 4 5 ³ - 2 tan - 1 ² - 4 3 ³´ 3. µ µ 3 - i µ µ 6 cis 165 ( 2 + i 2) 5 ( Write your final answer in rectangular form. ) II. Do as indicated. 1. 3 + 4 tan 3 2 x tan 3 2 x = cot 2 x + 3 csc 2 2 x , where x [0 , 2 π ) 2. sin - 1 h cos x + π 4 ·i = - π 3 3. cos - 1 x 2 · + tan - 1 x = π 2 4. z 4 + 2 = 2 i 3 III. Graph one cycle of f ( x ) = 3 + 2 sin π 4 x + π 4 · . Also, indicate its amplitude, period, and range. 5 points IV. Solve the following problems completely.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 5 points each 1. Jun observed from a rooftop that the angle of depression to a blue car in north is 60 ◦ while the angle of depression to a red car in south is 75 ◦ . If the red car and the blue car are 2 km apart from each other, how far is Jun from the two cars? 2. In the figure below, ± ABCD is a square and Δ ADE is a right triangle with AE = 6 and DE = 8. Find EF ? * END OF EXAM * TOTAL: 50 POINTS /ajdporlante 09.21.10/ 1...
View Full Document

This note was uploaded on 08/05/2011 for the course MATH 17 taught by Professor Aaronjamesporlante during the Spring '11 term at University of the Philippines Diliman.

Ask a homework question - tutors are online