Aniket Patra
Last Activity: 14 Years ago
1.The range is most probably the option (b)..Here f(x)=cos(sin p) + sin(sin(pi/2- p)..where p=log(x^2+e^2/x^2+1)..And so the value of cos(sin p) and sin(cos p) cant be 1 for the same value of p..becoz they are complementary functions..
2.The period of mod (sinx) + mod (cosx) is definitely pi/2...Both of them are even functions..And their period is 1/2 of the LCM of pi and pi...becoz period of mod (sinx) and mod (cosx) is pi..
3.The range is option (a)..Becoz the range of x-[x] i.e.{x} is 0 < x < 1.