If A and B are the solutions of the equation a tantheta + b sec(theta) = c, what does this statement imply? Does it mean that A and B are the values of theta for which the statement is true? Or does it hold some other meaning? Please help me clarify this doubt.

Asked by kumar.ashlesha | 27th May, 2016, 01:16: PM

Expert Answer:

I f space A space a n d space B space a r e space t h e space s o l u t i o n s space o f space t h e space e q u a t i o n space a tan theta plus b s e c theta equals c comma space t h e n space A space a n d space B space a r e space t h e space v a l u e s space o f space t h e t a
t h a t space s a t i s f i e s space t h e space g i v e n space e q u a t i o n.

S i n c e space t r i g o n o m e t r i c space f u n c t i o n s space a r e space p e r i o d i c comma space t h e r e f o r e comma space i f space a space t r i g o n o m e t r i c space e q u a t i o n space h a s space a space s o l u t i o n comma space i t
w i l l space h a v e space m a n y space s o l u t i o n s. space A n d space a f t e r space t h a t space t h e s e space s o l u t i o n s space c a n space b e space p u t space t o g e t h e r space i n space c o m p a c t space f o r m space a n d
t h i s space i s space k n o w n space a s space t h e space g e n e r a l space s o l u t i o n.

S o space s o l v i n g space a n space e q u a t i o n space m e a n s space t o space f i n d space i t s space g e n e r a l space s o l u t i o n.

Answered by Vimala | 27th May, 2016, 04:16: PM