In the NCERT Text Book Solution, Excercise 8.4, question 5 (v), could you please explain why each term is divided by Sin A?

Asked by PREM | 3rd Sep, 2014, 10:59: PM

Expert Answer:

Q u e s t i o n space i s space t o space p r o v e space t h a t fraction numerator cos A minus sin A plus 1 over denominator cos A plus sin A minus 1 end fraction equals cos e c A plus c o t A comma space u sin g space t h e space i d e n t i t y space cos e c squared A equals 1 plus co t squared A  B o t h space i n space t h e space n u m e r a t o r space a n d space i n space t h e space d e n o m i n a t o r comma space w e space h a v e comma space cos i n e space a n d space sin e.  A n d space space i n space t h e space s o l u t i o n space w e space h a v e comma space c o tan g e n t space a n d space cos e c a n t.  T h e space h i n t space g i v e n space i s space t h e space i d e n t i t y space c o m p r i s e s space o f space c o tan g e n t space a n d space cos e c a n t.  F r o m space cos i n e space a n d space sin e comma space w e space c a n space o b t a i n space c o tan g e n t space a n d space cos e c a n t space b y space d i v i d i n g space b y space sin e space o f space t h a t space a n g l e.  T h a t apostrophe s space t h e space r e a s o n space f o r space d i v i d i n g space b y space sin e space A

Answered by Vimala Ramamurthy | 4th Sep, 2014, 10:46: AM