Yes, it is.
1
Zero is rational, but it is neither positive nor negative.
It should also be a positive number. Let x be the numerator and y be the denominator. So you have +x/+y, the reciprocal would be +y/+x.
That is a rational number, as are all of the integers.
Yes, it is.
No. 0 is rational and has no reciprocal.
Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.
1
It is the positive value of that rational number.
Is '1' Any number multiplied with its reciprocal is equal to '1'
You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.
The cosecant is the reciprocal of the sine function. Now, the reciprocal of a positive number is positive, and the reciprocal of a negative number is negative.
A positive rational number.
1 is the only positive number that is its own reciprocal. -1 is the negative number that is its own reciprocal.
Yes.
If the rational number is in the form of a proper or improper fraction, just exchange the numerator and the denominator. Thus, the reciprocal of 7/4 is 4/7.