Chapter 12 Trigonometry Triangle

The angles could be nega5ve or posi5ve their terminal

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Unformatted text preview: d IV Sample Problems •  Sketch a posi5ve angle in quad II Sample Problem •  Sketch a nega5ve angle in quad III Sketch the given angle in standard posi5on, showing its rota5on. Iden5fy the quadrant in which the terminal ray is found. 1) 2100 2) − 1850 Coterminal Angles •  Coterminal angles are angles that differ from the given angle by 360 degrees. •  The angles could be nega5ve or posi5ve. •  Their terminal sides coincide To find Coterminal Angles … •  If you are looking for a posi5ve coterminal angle, add 360 degrees to the origional angle measure, theta. •  If you are looking for a nega5ve coterminal angle, subtract 360 degrees from the original angle measure, theta. For example ... 3) θ = 73 0 . θ Find a nega5ve coterminal angle of . 0 0 0 60 − 360 = −300 θ Find a posi5ve coterminal angle of 0 0 0 73 + 360 = 433 4) θ = 60 0 Iden5fy 2 angles (1 posi5ve and 1 nega5ve) that are coterminal with the given angle 5) 50 0 0 6) 120 7) − 45 0 1 1 = min utes 60 1 of 1' = 1' ' 60 0 (1' = 1 min ute ) (1' ' = 1sec ond ) 8) Express in decimal degrees 0 a) 14 36' 54" = 0 b) 64 9' = 0 c) 7 24' 18" = 9) Express in degrees, minutes and seconds: 0 a) 53.721 = b) 5.450 = c) 59.72 0 = CW/HW: p552...
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