Plese solve this sum for meI f space sin theta equals 2 minus space cos theta space a n d space theta greater-than or slanted equal to 0 space f i n d space sin theta

Asked by parimalmullick | 3rd Nov, 2015, 07:28: PM

Expert Answer:

G i v e n space t h a t space sin theta equals 2 minus cos theta space a n d space theta greater or equal than 0 rightwards double arrow s i n theta plus cos theta equals 2  S q u a r i n g space b o t h space t h e space s i d e s comma space w e space h a v e comma open parentheses sin theta plus cos theta close parentheses squared equals 2 squared rightwards double arrow sin squared theta plus cos squared theta plus 2 sin theta cos theta equals 4 rightwards double arrow 1 plus 2 s i n theta c o s theta equals 4 rightwards double arrow 2 s i n theta open parentheses 2 minus s i n theta close parentheses equals 4 minus 1 space space space space space space open square brackets because cos theta equals 2 minus sin theta close square brackets rightwards double arrow 2 s i n theta open parentheses 2 minus s i n theta close parentheses equals 3 rightwards double arrow 4 s i n theta minus 2 sin squared theta equals 3 rightwards double arrow 2 s i n squared theta minus 4 s i n theta plus 3 equals 0 S o l v i n g space t h e space q u a d r a t i c comma space w e space h a v e comma sin theta equals fraction numerator negative open parentheses negative 4 close parentheses plus-or-minus square root of open parentheses negative 4 close parentheses squared minus 4 cross times 2 cross times 3 end root over denominator 2 cross times 2 end fraction rightwards double arrow s i n theta equals fraction numerator 4 plus-or-minus square root of 16 minus 24 end root over denominator 4 end fraction rightwards double arrow s i n theta equals fraction numerator 4 plus-or-minus square root of negative 8 end root over denominator 4 end fraction T h u s space t h e space s o l u t i o n space i s space n o t space r e a l. P l e a s e space c h e c k space y o u r space q u e s t i o n.

Answered by Vimala Ramamurthy | 4th Nov, 2015, 10:42: AM