Thanks guys the tips made me have the idea that I can just write the check for 
the second list instead of '(true).

Here is my solution:

#lang racket


(define (test1 word book book2)

  (cond     ((null? book) '(false))

            ((equal? word (first book)) (cond      ((null? book2) '(false))

                                                   ((equal? word (first book2)) 
'true)
  
                                                   (else (test1 word book (rest 
book2)))))

            (else (test1 word (rest book) book2))))


Thanks you again

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