WHAT IS THE FULL FORM OF COS A AND COT A

Asked by dalbirgolagarh | 21st Sep, 2015, 04:15: PM

Expert Answer:

C o n s i d e r space a space r i g h t space t r i a n g l e comma space A B C space r i g h t space a n g l e d space a t space B. T h e r e space a r e space t h r e e space b a s i c space r a t i o s comma space sin comma space cos space a n d space tan. O b s e r v e space t h e space f o l l o w i n g space f i g u r e.
S i n e space o f space a n space a n g l e space i s space t h e space r a t i o space o f space t h e space s i d e space o p p o s i t e space t o space t h a t space a n g l e space a n d space h y p o t e n u s e. T h a t space i s comma space sin A equals fraction numerator O p p o s i t e space s i d e space o f space a n g l e space A over denominator H y p o t e n u s e end fraction space space space space space space space space space space space space space space space space space space space space equals fraction numerator B C over denominator A C end fraction C o sin e space o f space a n space a n g l e space i s space t e r m e d space a s space cos A space a n d space i t space i s space t h e space r a t i o space o f space t h e space s i d e space a d j a c e n t space t o space t h a t space a n g l e space a n d space h y p o t e n u s e. T h a t space i s space cos A equals fraction numerator A d j a c e n t space s i d e space o f space a n g l e space A over denominator H y p o t e n u s e end fraction space space space space space space space space space space space space space space space space space space space space equals fraction numerator A B over denominator A C end fraction T a n g e n t space o f space a n space a n g l e space i s space t e r m e d space a s space tan A space a n d space i t space i s space t h e space r a t i o space o f space o p p o s i t e space s i d e space a n d space t h e space a d j a c e n t space s i d e space o f space t h a t space a n g l e. T h a t space i s space tan A equals fraction numerator O p p o s i t e space s i d e space o f space a n g l e space A over denominator A d j a c e n t space s i d e space o f space a n g l e space A end fraction space space space space space space space space space space space space space space space space space space space space equals fraction numerator B C over denominator A B end fraction space C o tan g e n t space o f space a n g l e space i s space t e r m e d space a s space c o t A space a n d space i t space i s space t h e space r a t i o space o f space a d j a c e n t space s i d e space a n d space t h e space o p p o s i t e space s i d e space o f space t h a t space a n g l e. T h a t space i s space c o t A equals fraction numerator A d j a c e n t space s i d e space o f space a n g l e space A over denominator O p p o s i t e space s i d e space o f space a n g l e space A end fraction space space space space space space space space space space space space space space space space space space space space equals fraction numerator A B over denominator B C end fraction space space space space space

Answered by Vimala Ramamurthy | 22nd Sep, 2015, 08:42: AM

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