Advanced Algebra and Trig - Section 5.1 - Day #1 - Notes DO NOW! Plot the following points. State the quadrant in which each point is located. Point A(-4, -2) Quadrant _____ II B(3, -1) I C(-2, 3) Remember: Quadrants _____ _____ III IV D(3, 4) _____ ___________________________________________________________________________ NOTES: Angle:_______________________________________________________ _______________________________________________________ A Vertex B C x-axis The Initial side is _____________. The Terminal side is _____________. Standard position of an angle: The Vertex is __________________________________________________________. The Initial side must ______________________________________________________. The terminal side of an angle in Positive Standard Position is rotated_________________________. The terminal side of an angle in Negative Standard Position is rotated_________________________. Do the following angles have Positive or Negative measure? y y x x y x y y y x X x Angles can be named with Greek Letters. Match the Greek letter with its name. ______Alpha ______Beta ______Theta ______Gamma In Trigonometry, angles in standard form can be______________ or ______________. (more than ______ , and less than ___) More to come… Graph each Angle in Standard Position and State the Quadrant in which the terminal side lies. 1) =50o 2) = 200 o 3) =340 o Quadrant :__________ Quadrant :__________ Quadrant :__________ 5) = 45o 6) = 100 o 7) =100 o 4) =175 o Quadrant :__________ 8) = 85 o Quadrant :__________ Quadrant :__________ Quadrant :__________ 9) = 300o 10) = -135 o 11) =90 o Quadrant :__________ 12) = -180 o Quadrant :__________ Quadrant :__________ Quadrant :__________ Quadrant :__________ Name:_________________________________ Date:______________________ Period:___________ HOMEWORK: Graphing Angles in Standard Form using Degrees Graph each Angle in Standard Position and State the Quadrant in which it lies. 1) = 40o 2) = 30 o 3) = 90 o Quadrant :__________ Quadrant :__________ Quadrant :__________ 5) = 125o Quadrant :__________ 6) = 90 o Quadrant :__________ 7) = 300 o Quadrant :__________ 4) = 95 o Quadrant :__________ 8) = 95 o Quadrant :__________ 9) = 45o 10) = 350 o 11) = 65 o Quadrant :__________ Quadrant :__________ Quadrant :__________ 13) = 145o 14) = 265 o 15) = 320 o Quadrant :__________ Quadrant :__________ Quadrant :__________ 12) = 180 o Quadrant :__________ 16) = 180 o Quadrant :__________ OVER HOMEWORK: Graph each Angle in Standard Position and State the Quadrant in which it lies. 17) = 75o 18) = 150 o 19) =340 o Quadrant :__________ Quadrant :__________ Quadrant :__________ 21) = 75o 22) = 280 o 23) = 270 o 20) = 175 o Quadrant :__________ 24) = 185 o Quadrant :__________ Quadrant :__________ Quadrant :__________ 25) = 360o 26) = 18 o 27) = 195 o Quadrant :__________ Quadrant :__________ Quadrant :__________ 29) = 320o 30) = 190 o 31) = 20 o Quadrant :__________ Quadrant :__________ Quadrant :__________ Quadrant :__________ 28) = 325 o Quadrant :__________ 32) = 175 o Quadrant :__________
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