if x and y are two real unequal quantities then prove that
cos theta = 1 + 1/x is impossible

Question

aaronandyson · Answer

$$\cos \theta = 1 + \frac{ 1 }{ x }$$

loser66 · Answer

What is the role of y here?

aaronandyson · Answer

@mayankdevnani

aaronandyson · Answer

something is wrong with my account..read th question again

mathmate · Answer

@AaronAndyson 
hints:
1. find the range of cosine(x).
2. prove that 1+1/x is outside of range of cosine(x)

misty1212 · Answer

HI!!

misty1212 · Answer

there is a problem with the variables here

misty1212 · Answer

if for example $x=-2$ then $$1+\frac{1}{x}=\frac{1}{2}$$which is not outside the range
you have $x,y,\theta$ too many variables in the question

mathmate · Answer

@AaronAndyson
Quite true @misty1212!  
Is the question exactly what you posted, or are there minor differences?
is x a positive number, or is cos(x)=x+1/x ??   (this is what I was working with, sorry).
By the way, where does y come in?