INVERSE TRIGONOMETRIC FUNCTIONS - CLASS XII MODULE 1

1. LECTURE SLIDES BY: MISHAL CHAUHAN CLASS 12 CHAPTER - 2 MODULE - 1 Lecture Slides - Mishal Chauhan

2.  BASICS OF FUNCTIONS  TRIGONOMETRIC FUNCTIONS  DOMAIN, CODOMAIN, RANGE OF A FUNCTION  ONE – ONE & MANY ONE FUNCTIONS  ONTO-INTO FUNCTION  BIJECTION  EXAMPLES Lecture Slides - Mishal Chauhan

3. Lecture Slides - Mishal Chauhan

33. Answer : D Lecture Slides - Mishal Chauhan

57.  X=1 ----- f(x)=2  X=2 ----- f(x)=4  X=3 ----- f(x)=6  Hence distinct values of x gives different outputs. (One value---One output)  Therefore One-one Function. Lecture Slides - Mishal Chauhan

59. Take  X=1.1 ----- [1.1]=1  X=1.2 ----- [1.2]= 1  Hence distinct values of x does not gives different outputs. (Many value---One output)  Therefore Not One-One Function, it is many – one function. Lecture Slides - Mishal Chauhan

61. Take  X= -1 ----- |-1|= 1  X=1 ----- |1|= 1  Hence distinct values of x does not gives different outputs. (Many value---One output)  Therefore Not One-One Function, it is many – one function. Lecture Slides - Mishal Chauhan

63. Take  X= 1 --Odd --f(x)=2  X=2 –Even - -- f(x)=1  X=3—odd—f(x)=4  X=4—Even—f(x)=3……Clearly One - One.. Lecture Slides - Mishal Chauhan

64. Take  X= 1 --Odd --f(x)=2  X=2 –Even - -- f(x)=1  X=3—odd—f(x)=4  X=4—Even—f(x)=3……Since Range=Co-Domain (i.e N)  Clearly Onto Lecture Slides - Mishal Chauhan

75.  CENGAGE PUBLICATION, MATHEMATICS (G.TEWANI)  R.D SHARMA OBJECTIVE MATHEMATICS FOR IITJEE  WILEY MATHEMATICS  PEARSON MATHEMATICS, IITJEE SUPERCOURSE  GSEB QUESTIONBANKS  NCERT EXEMPLAR Lecture Slides - Mishal Chauhan

INVERSE TRIGONOMETRIC FUNCTIONS - CLASS XII MODULE 1

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INVERSE TRIGONOMETRIC FUNCTIONS - CLASS XII MODULE 1