M17 LE4 Sem2 09-10

M17 LE4 Sem2 09-10 - MATH 17 LE4 | 03.08.10 SHOW ALL...

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

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

Unformatted text preview: MATH 17 LE4 | 03.08.10 SHOW ALL NECESSARY SOLUTIONS. WORK NEATLY. I. Modiﬁed True or False. Write TRUE if the statement is always true. Otherwise, change the underlined phrase/expression to make the statement always true. Show your computations. 2 pts each 1. P (−4) lies in Quadrant III. 2. The range of the function f ( x) = csc x is [−1, 1]. 3. The function g( x) = tan x is periodic with period 2π. 4. The function h( x) = sin x cos x is odd. 5. If the terminal side of an angle θ in standard position contains the point (−1, 5), then cot θ = −5. II. Do as indicated. 1. Find the exact value of the following. (a) cot (−165◦ ) 5π 13π cos (b) cos 24 24 2. Express csc 4 pts 4 pts 28π π as a circular function value of θ such that 0 ≤ θ ≤ . 5 4 1 = csc x − cot x. csc x + cot x π π 4. Gven f ( x) = 1 + 2sin x+ . 3 9 4 pts 5 pts 3. Prove: (a) Give the period, the amplitude, and the range of the function. 2 pts (b) Graph one cycle of the function. 5 pts 6 pts each III. Determine the following given that sin A = 1. cos 3 π and < A < π. 5 2 A 2 2. tan A − π 3 3. sin 3 A *END OF EXAM* Total: 50 points "Friendship is unnecessary, like philosophy, like art... It has no survival value; rather it is one of those things that give value to survival." -C.S. Lewis /ajdporlante 01.22.10/ 1 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online