J004 X YвЂ™ XвЂ™ Y O II Quadrant sin & cosec are Positive I Quadrant All Positive III Quadrant tan & cot are Positive IV Quadrant cos & sec are Positive ASTC :- All Sin Tan CosДў5 Illustrative Problem J004 пЃ± lies in second If cot пЃ± = J004 In Fourth Quadrant пЃ± X O P (x,y) YвЂ™ M Here x >0, y0Дў4 Signs of Trigonometric Function In All Quadrants J004 пЃ± XвЂ™ X P (x,y) O YвЂ™ Y M In Third Quadrant Here x 0Дў3 Signs of Trigonometric Function In All Quadrants J004 In Second Quadrant пЃ± X XвЂ™ Y YвЂ™ P (x,y) x y r Here x 0, >0Дў2 Signs of Trigonometric Function In All Quadrants J004 In First Quadrant x O Y X P (x,y) M пЃ± y r Here x >0, y>0, >0Дў1 Signs of Trigonometric Function In All Quadrants Solution P A B 72o Arc AB = 88 m and AP = ?Дў0 Signs of Trigonometric Function In All Quadrants If the horse moves along a circular path always keeping the rope tight and describes 88 meters when it has traced out 72o at the center. J001 Circular System O r A B 1c If OA = OB = arc ABДЎ2 Relation Between Degree Grade And Radian Measure of An AngleДЇind the grade and radian measures of the angle 5o37вЂ™30вЂќ SolutionДЎ5 Relation Between Angle Subtended by an Arc At The Center of CircleДЎ6 Illustrative Problem J002 Solution B Arc AB = 88 m and AP = ? 72o P AДЄ horse is tied to a post by a rope. J001 Sexagesimal System (British System) 1 right angle = 90 degrees (=90o) 1 degree = 60 minutes (=60вЂ™) 1 minute = 60 seconds (=60вЂќ) Is 1 minute of sexagesimal 1 minute of centesimal ? = Centesimal System (French System) 1 right angle = 100 grades (=100g) 1 grade = 100 minutes (=100вЂ™) 1 minute = 100 Seconds (=100вЂќ) NO J001 Measurement of Angle Sexagesimal System or British System Centesimal System or French System Circular System or Radian Measure III Quadrant IV Quadrant XвЂ™OX вЂ“ x - axis YвЂ™OY вЂ“ y - axis Sign of an Angle :- B Rotation anticlockwise вЂ“ Angle positive O A BвЂ™ Rotation clockwise вЂ“ Angle negativeД¦ Right Angle O Y X J001 Revolving ray describes one вЂ“ quarter of a circle then we say that measure of angle is right angle Angle Right angle пѓћ Obtuse AngleД§ Quadrants J001 Y O XвЂ™ X XвЂ™OX вЂ“ x - axis YвЂ™OY вЂ“ y - axis YвЂ™ II Quadrant J001 Measure of an Angle :- Amount of rotation from initial side to terminal side. Of Trigonometric Function Compound Angles Transformation of AnglesДЄngle is considered as the figure obtained by rotating initial ray about its end point.

Session 1 Trigonometric ratios and IdentitiesДЈ Topics Measurement of Angles Definition and Domain and Range

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