Q) Total number of integral values of n such that sin x left parenthesis sin x plus cos x right parenthesis equals n space h a s space a t space l e a s t space o n e space r e a l space s o l u t i o n space i s
left parenthesis A right parenthesis 2 space space space space left parenthesis B right parenthesis 1 space space space left parenthesis C right parenthesis 3 space space space space left parenthesis D right parenthesis 0

Asked by araima2001 | 5th Apr, 2017, 05:18: AM

Expert Answer:

begin mathsize 16px style Given space that space sinx space open parentheses sinx plus cosx close parentheses equals straight n
If space we space put space straight x equals 0 space rightwards double arrow straight n equals 0
For space straight x equals 45 degree space or space 90 degree space we space will space get space straight n equals 1
Hence comma space total space number space of space integral space values space of space straight n space are space 2 space.
Since comma space 45 degree space and space 90 degree space have space same space value space of space straight n. end style

Answered by Sneha shidid | 5th Apr, 2017, 09:48: AM