Exam 3 Study guide
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This 3 page Study Guide was uploaded by Nicole Kappeler on Tuesday March 31, 2015. The Study Guide belongs to Math 1149 at Ohio State University taught by Brian Morton in Winter2015. Since its upload, it has received 186 views.
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Date Created: 03/31/15
MSLC Math 1149 Exam 2 Review Disclaimer This should NOT be used as your only guide for what to study 1 Find the exact value of each of the following 1 99 a tan s1n IOJJ b cos cost 2 Given triangle AABC with the following properties 9 14 c 17 B 44 and C is an obtuse angle Find the measure of angle C gt Round your answer to 2 decimal places m 3 A team of surveyors have been hired to measure the distance across a canyon Using a tree at point T on the opposite site of the canyon as a reference point they established points A B and C and found the following distances 1 quot AB 1225 ft A BC 65 ft AC 15 ft a Find the measure of angle ABC Round your answer to 2 decimal places B b Find the distance TC across the canyon to the nearest foot 4 Given cotx and sinx gt 0 find an2x b sini 2 c cos2x d cosi 2 5 Find the exact solution of 117 a Sin 12 b tan165 77 0 cos 8 6 Find all solutions of a J2 cos 2x 1 2 O on the interval 0 27 b cos xsinx 2oosx 0 c 2sin 2 0 on the interval 0 87 7 Establish the identity 1 sinx 2 a secx tanx ls1nx b Wzsin wcos tan6cot6 cotxcoty l c cotxy cotxcoty 7r 7 1 sm x s1n x 2 j 2 lsin2x l e 1 secxcscx s1n2x ANSWERS 1a b Z 2O 3 2 C12249 3 a LABC 10184 b TC 2 31 feet 4a2 b 1 3 d L quot13 392J 13 392JB 1 C 13 JE JE l J 2 5 5 a b c 4 1J 4 37r 57r 117x 137 7r 27x 47x 147x 167x 6a b 7rk c 8 8 8 8 2 3 3 3 3 secx tan x2 1sinx 1 sinxl sinszHS 1s1nx1 s1nx 1 239 39 2 s1nc 2s1n szHS 1 s1n x 1 2 39 39 2 s1nx2 s1n szHS cos x 1 239 39 2 s1nxs1n2x2RHS COS2 X COS2 X COS X 2 2 2 sec x 2secxtanxtan x secx tan x SCCXCSCX M sinxcosx tanxcotx 1 1 cosx sinx RHS sin x cos x cos x sin x sin x cos x 2 2 RHS SlIl XCOS X cos x sin x sinxcosx cosxsinx s1nxcosx 2 2 COSXSlIlX SlIl XCOS X cotxcot y l cotx y cot x cot y cosx y RHS sinx y cos xcos y sin xsin y sin xcos y cos xsin y RHS RHS 1 cosxcos y s1nxs1n y s1n ys1nx 1 sinxcos y cosxsin y f s1n ys1nx cos xcos y 1 sin xsin y cotxcoty l cos y cosx sin y sin x cotx cot y 7r 7 sm x sm x 2 j 2 LHS sin cos x sin xcos LHS 1cosx0 LHScosx 7139 8111 E X COSX 1sin2x 1 1 sccxcscx s1n2x sin2x 1 RHS s1n2x s1n2x 1zRHS 2s1nxcosx 1 1 1 cscxsecx1 sccxcscx
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