what is triangle of reference in  circular trignometry? explain with diagram.
 

Asked by lucky170313 | 4th Jun, 2014, 07:58: PM

Expert Answer:

C o n s i d e r space t h e space f o l l o i w i n g space f i g u r e.
I n space t r a i n g l e space A B C comma space r i g h t space a n g l e d space a t space B comma space l e t space theta space b e space t h e space a n g l e space angle A C B. T h u s comma space sin theta equals fraction numerator o p p over denominator h y p end fraction equals fraction numerator A B over denominator A C end fraction equals 1 half cos theta equals fraction numerator a d j over denominator h y p end fraction equals fraction numerator B C over denominator A C end fraction equals fraction numerator square root of 3 over denominator 2 end fraction tan theta equals fraction numerator o p p over denominator a d j end fraction equals fraction numerator A B over denominator B C end fraction equals fraction numerator 1 over denominator square root of 3 end fraction cos e c theta equals fraction numerator h y p over denominator o p p end fraction equals 2 over 1 s e c theta equals fraction numerator h y p over denominator a d j end fraction equals fraction numerator 2 over denominator square root of 3 end fraction c o t theta equals fraction numerator a d j over denominator o p p end fraction equals fraction numerator square root of 3 over denominator 1 end fraction a n d space theta equals 30 to the power of degree T h i s comma space t r i a n g l e space i s space c a l l e d space t h e space t r i a n g l e space o f space r e f e r e n c e space i n space c i r c u l a r space t r i g o n o m e t r y.

Answered by Vimala Ramamurthy | 5th Jun, 2014, 11:21: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.