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1)

sinh12+cosh12tanh123+coth1(2)=


A) log(4+23+25+1515)

B) log(4+3+5+1515)

C) log((2+3)+(2+5)53)

D) log(2+3)+(2+5)35

Answer:

Option D

Explanation:

 We have 

sinh12+cosh12tanh123+coth1(2)

 = ln(2+22+1)+ln(2+221)12ln(1+2/312/3)+12ln(2+121)

=ln(2+5)+ln(2+3)12ln5+12ln13

=ln[(2+5)(2+3)35]

                    sinh1x=ln(x+x2+1),cosh1x=ln(x+x21),

             tanh1x=12ln(1+x1x),coth1x=12ln(x+1x1)