Question

prove that equation x+1/x=sin theta is not possible for any real value of x

Answer 1

Answer:

$(x + 1) \div x = \sin( \alpha )$

If x=1

$2 \div 1 = 1 = \sin( \alpha ) \\ \sin( \alpha ) = 2 \\ not \: possible$

Similarly for x=2

$3 \div 2 = 1.5 = \sin( \alpha ) \\ \sin( \alpha ) = 1.5 \\ not \: possibe$

Therefore for any value of x ,the numerator will be more than denominator and value of sin@ will be more than 1 because num is added with 1 and value of sin more than 1 is not possible