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Practice: Lessons 4.7-4.8 Name: Period: Fill in The Unit Circle Positive: Positive: e2ative: (L ([0 Positive: Nati ye: LQiL) Positive: NJcgtti. E meddedMh co m 0 _________ ______ 1) Evaluate the following without using a calculator. Use your unit circle. a) sin-1:] d) sin ( 1 O) -n _,1- = 0 b) sin’LLJ= e) = 1 SiflI— c) — arcsin[_2-J LE I 1) 11 Lj 1 arcsin —— itt Tr an g) cos j) cos(O)= m) arctan(1) = p) arctan(O) = 2) Evaluate the following compositions of trigonometric functions using your unit circle: (Remember: Evaluate the inside, and then solve the outside) (0 h) arccos(—1)= k) arccos -rr z a) n) tanl(_1)= q) tan-’(\/)= I) cos_*/)= cos cos rr o) tan 1—1= r) tan 3 Tr b) = = sin[sin[_N]] -yr d) cos’ f) tan h) sin(sin = 3 - -rr ( tan 3 Ltan___ 1r g) = 3 (p - I——--= alt Lj e) JI 3 11 - c) 3 COS’_= rr 0 sin’(sinCllD] D (fl -n i) 0 (tan_i (o))= 0 (- i))= Tt’ — J i) COS 1 j) (7 1( cos cos— = — 1, = -rr 1i 11 k) jJ tan’( tan 1) tan(tan’(_ i))= — n) sin sin p) cos r) tan(tan’(’J))= — 11 m) sin = — 2 I. o) cos[cosu1_ij q) tan 2 = [tan__IJ = — -hi 3) Find all of the missing sides and angles of the following triangles. Circle each final answer. Round 2 decimals places. a) B b) B 42 a C c = 18 a b =38 A CoSA j H4LI A cos(’ b 0 Sr S I8 3D 2I° EE’E cZiEo qO_O 8 qiq9 B d) c) B a C =10 a b =30 IO 3D-C 443 A 12. b=22 C (00 -9-I iW CC’S B 0 e) c = B 25 a=12 c C i24 144 =32 a b Sr1 J2 A C b + I CO Co5O — 3 a: e. _ coS lao )05 4) Find the altitude of each of the following isosceles triangles. Round 2 decimals places. 30 30 12 feet 28 feet k 3 -tn — ILl (p h t,4an3r b; io; / 78° /k 8 feet /oc9 lOfeet h SE h 5) s4cI° Docking a boat A boat is pulled in by means of a winch located on a dock 10 feet above the deck of the boat. Let 0 be the angle of elevation from the boat to the winch. Find 0 if the length of the rope is 40 feet. Round 2 decimal places. Sn@ 9 / %O (ZEZEE° Is. 6) The sun is 32° above the horizon. Find the length of a shadow cast by a building that is 700 feet tall. Round to the nearest foot. a) Draw a picture to represent the above situation b Find the length of the shadow. 700 -an3°: x I’ 700 X an32 4 x (X 7) The height of a tlagpole is 34 feet. You are standing 15 feet from the flagpole. What is the angle of elevation from you to the top of the flagpole? Round to 2 decimal places. a) Draw a picture to represent the above situation. b) Find the angle of elevation. onc i 1 3L1 1 I s’ (q)