Exam 1 Study Guide - Precalculus Trigonometry | MA 113, Study notes of Pre-Calculus

Download Exam 1 Study Guide - Precalculus Trigonometry | MA 113 and more Study notes Pre-Calculus in PDF only on Docsity! MA213, Test#1, Spring 2011, Akkoc. page 10f3 MA113-103~Test #1~Spring 2011~Akkoe Name: Ke E { Score: /100 Show key steps of your work on this sheet. Attach additional sheets if necessary. Problems are worth 20 points each. { 3 210) 1. If P(t) has coordinates | - — , —— i eee Pe ae ea ree oe ee CF) a te = z Then, determine the coordinates of: (a) Pt+m)= (ee - 26) ole 3 ( (c) P@+2/2)= SP acy 7 = 2 @ P@-t= G > a) 2. Find all values of t in the interval [0,37] that satisfy the equation cos (t/2) = 1/2. coer 5498) oc i gh 2B fp 3. Solve! the equation nant 3 sin (t) +1=0 fortin the aateaeal Lo a8 (9 wn t)-1) Cerne 1) 20 = Qe W-lae or ge tyalze esa (ea Sen N= t Seon tds 1 x . qT pyle nese sso Rte os a MAu3, Test#1, Spring 2011, Akkoc page 20f3 4. Construct the graph of y = 2 cos (x/2- 17/4) = 2 cos 4h(x- 2/2) in successive steps as follows: Yow, SET y1 = cos (x), Ya= cos (14x), ys = cas A(x - 1/2), yg = 2 cos A(x ~- 2/2) on the same set of coordinate axes shown below. Label all graphs. y= cose), O¢ Bean , ALKSAT pariod 3 Wy 2 eas{h(x-B)]= YB vue onj2 5% 5. Construct the equation of a cosine function to match the graph shown in the figure. Test your equation at x=0, 1. ec Ge) = ‘ cos eens E We 2 f 0 z { Of BY SAN na | Ost <3 aD 2% 2B-2t es Bh (1-2) [gd= 2 cas LH eens Testing: Cs Qeas(oszD on word 2 2 es (MF-2 we