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Day 3 Notes. 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. 13) cos 90 º + 3 sin 270 º. + 3( ) 0 + 3( ) 0 + 3(-1) -3.
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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
13) cos 90 º + 3 sin 270º + 3( ) 0 + 3( ) 0 + 3(-1) -3
15) 3 sec 180 – 5 tan 360 3( ) – 5( ) 3(-1) – 5( ) 3(-1) – 5( ) 3(-1) – 5(0) -3
17) tan360+ 4sin180+ 5cos2180 + 4( ) + 5( )2 0 + 4( ) + 5( )2 0 + 4( ) + 5( )2 0 + 4(0) + 5( )2 0 + 4(0) + 5(-1)2 5
19) sin 2 180 + cos 2 180 + ( )2 0 + ( )2 0 + (-1)2 1
21)sec2180- 3sin2360+ 2cos180 ( )2 – 3( )2 + 2 ( ) (-1)2 – 3(0)2 + 2 (-1) (-1)2 – 3(0)2 + 2 (-1) (-1)2 – 3(0)2 + 2 (-1) 1 – 2 -1
23)2sec2360-4sin290+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
-4sin 90+3cos 180+2csc 270 -4( ) + 3 + 2 -4(1) + 3 + 2 -4(1) + 3-1 + 2 -4(1) + 3-1 + 2-1 – 4 + 3 + 2 1
DEF:Coterminal Angles Angles with the same initial side and the same terminal side
y 5 x -5 -5 5 EX: Find the angles of smallest possible measure coterminal with the following angles: 908
y 5 x -5 -5 5 EX: Find the angles of smallest possible measure coterminal with the following angles: 908 908 – 720 188
y 5 x -5 -5 5 EX: Find the angles of smallest possible measure coterminal with the following angles: - 75
y 5 x -5 -5 5 EX: Find the angles of smallest possible measure coterminal with the following angles: - 75 360 – 75 285