if aangle a space a n d space angle b are acute angles such that cos open parentheses A close parentheses equals cos open parentheses B close parentheses space t h e n space s h o w space t h a t space angle A equals angle B

Asked by dwivediastha717 | 14th Jul, 2015, 06:58: PM

Expert Answer:

The above two right angled triangles have angles A and B. 
G i v e n space t h a t space cos angle A equals cos angle B rightwards double arrow b over h equals B over H rightwards double arrow b over B equals h over H H e n c e comma space b o t h space t h e space t r a i n g l e s space a r e space s i m i l a r space. space left parenthesis r i g h t space a n g l e comma space h y p o t e n u s e space a n d space s i d e space p r o p e r t y right parenthesis F o r space s i m i l a r space t r i a n g l e s comma space c o r r e s p o n d i n g space a n g l e s space a r e space e q u a l. H e n c e comma space angle A equals angle B space left parenthesis P r o v e d right parenthesis

Answered by satyajit samal | 15th Jul, 2015, 10:50: AM