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## Trigonometry

by: Dr. Elody Harris

21

0

4

# Trigonometry MAT 106

Dr. Elody Harris
CSU Pomona
GPA 3.53

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
4
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 4 page Class Notes was uploaded by Dr. Elody Harris on Saturday October 3, 2015. The Class Notes belongs to MAT 106 at California State Polytechnic University taught by Staff in Fall. Since its upload, it has received 21 views. For similar materials see /class/218208/mat-106-california-state-polytechnic-university in Mathematics (M) at California State Polytechnic University.

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Date Created: 10/03/15
Sections 78 81 82 83 86 87 Review Section 78 Trigonometric Equations 1 Solve the given trigonometric equation exactly on 0 S 9 lt 2n 2 coszx0 2 Solve the given trigonometric equation on 0 3 9 lt 360 2 sinx 1cosx V3 2 0 3 Find all solutions a 2 cos x 1 0 b2cost 3 0 csinx Section 81 Oblique Triangles And The Law Of Sines 4 Solve the given triangle y 100 40 a 16ft Section 82 The Law of Cosines 5 Solve each triangle ab 55 50 20 ba 6 b9c12 Section 83 The Area Of A Triangle 6 Find the area of each triangle described aa 6b 8y 80 ba6b10c9 Section 86 Polar Trigonometricg Form Of Complex Numbers 7 Express each complex number in polar form a 1 N b 0 2i c 2 0i 8 Express each complex number in rectangular form 2cos 135 i sin 135 Section 87 Products Quotients Powers And Roots Of Complex Numbers 9 Find the product 2122 and the quotient 1 2 where 21 4cos 80 isin 80 22 2cos 145 i sin 145 10 Find the result of each expression using DeMoivre s theorem Write the answer in rectangular form 3 3i10 11 Find all complex solutions to the given equations x310 Sections 78 81 82 83 86 87 Review Solutions 1 N0 solution 100 1889568i 2x1150 x230 1111 i1 i 392 2 392 2 3 a x n 21m bx1 1 2kn x2 kn cx1 1 nz2kn x2 21m 40 40 b 16ftc 25ft 5 aa 23 80 y 80 by 104 47 0 29 6 a 236 b 05 7 a 2cos 60 i sin 60 b 2cos 90 i sin 90 c 2cos 180 i sin 180 8 3 NE 9 2122 4 ll i Z1 2cos 65 zsm 65 Zz Test 1 Review Solutions 1711 1611 a T b T E 12 210 b 84 1 3 ft 8 2 762 13W cm 3 14 862 cm2 a 58 a64ftb10ft 154fF b a 62 3 28 a 441 m mm 4 N26 E 16 279 km cm 5 214 miles 17 6 a 6 h 2 18 415 mm I 2 g 19 3665 ft st cch 5 52 20 84 secQ E c056 1 tanQ 2 cote 2 7 h m 6 2m 6 x sm 13 csc 2 6 3m 6 x COS T SEC T t 6 2 t6 3 an 3 co 2 8 I sine 1 I cch 1 I I c056 0 I secQ Undefined I I tanQ 00 I cote 0 12 9 c056 E 10 c056 2 11 Test 2 Review Solutions 3 44 C 39E 13 a 8 b151161 1 cos 2x 1 cos2 x sin2 x 161 T 2 4 1 cos2 x sin2 x 2 2 2 a smxsmx251nx 2 2 cscx cotxcscx cotx Sln X cscx cotx cscx cotx o csc2 x cot x 9 150 cscx cotx 1 cot2 x cot2 x 10 g cscx cotx 1 cscx cotx 11 b a 0 1 1 b 1 cosx 1 cos 5 x 1 cosx 1 cosx 1 cos x1 cos x 2 2 1 czos2 x sin2 x 2 csc x 5 12x3 12 6 192 25V 119 7 a 3 3 1

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