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Published byTodd King Modified over 10 years ago
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Day 3 Notes
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1.4 Definition of the Trigonometric Functions OBJ: Evaluate trigonometric expressions involving quadrantal angles OBJ: Find the angle of smallest possible measure coterminal with a given angle
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13) cos 90 º + 3 sin 270 º + 3( ) 0 + 3( ) 0 + 3(-1) -3
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15) 3 sec 180 – 5 tan 360 3( ) – 5( ) 3(-1) – 5( ) 3(-1) – 5(0) -3
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17) tan360 + 4sin180 + 5cos 2 180 + 4( ) + 5( ) 2 0 + 4( ) + 5( ) 2 0 + 4(0) + 5( ) 2 0 + 4(0) + 5(-1) 2 5
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19) sin 2 180 + cos 2 180 + ( ) 2 0 + ( ) 2 0 + (-1) 2 1
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21)sec 2 180 - 3sin 2 360 + 2cos180 ( ) 2 – 3( ) 2 + 2 ( ) (-1) 2 – 3(0) 2 + 2 (-1) 1 – 2
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23) 2sec 2 360 -4sin 2 90 + 5cos180 2( ) 2 – 4( ) 2 + 5( ) 2(1) 2 – 4( ) 2 + 5( ) 2(1) 2 – 4(1) 2 + 5( ) 2(1) 2 – 4(1) 2 + 5(-1) 2 – 4 + 5 3
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-4 sin 90 +3 cos 180 +2 csc 270 -4( ) + 3 + 2 -4(1) + 3 + 2 -4(1) + 3 -1 + 2 -4(1) + 3 -1 + 2 -1 – 4 + 3 + 2 1
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DEF: Coterminal Angles Angles with the same initial side and the same terminal side
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EX: Find the angles of smallest possible measure coterminal with the following angles: 908 y x 5 5 -5
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EX: Find the angles of smallest possible measure coterminal with the following angles: 908 908 – 720 188 y x 5 5 -5
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EX: Find the angles of smallest possible measure coterminal with the following angles: - 75 y x 5 5 -5
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EX: Find the angles of smallest possible measure coterminal with the following angles: - 75 360 – 75 285 y x 5 5 -5
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