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Q: What positive number is the same as its reciprocal?
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Why will sin and cosecant have the same sign?

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.


What positive number is the same as it's own reciprocal?

1.


What positive number is the same its reciprocal?

The answer is 1.Reciprocal is the quantity obtained by dividing the number one by a given quantity. The reciprocal of x is 1/X. The only positive integer that is itself when divided into 1 is 1.


Why is the reciprocal of the opposite of a nonzero number the opposite of the reciprocal of the number?

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.


What is the reciprocal of a positive rational number?

It is another positive rational number. The reciprocal of p/q is q/p.


What is the property of the reciprocal of the opposite of a number?

The property of the reciprocal of the opposite of a number is: Reciprocals of inverse values are themselves inverse values. i.e. for b = (-1)a , the reciprocal 1/b = (-1) 1/a The negative or positive status of a reciprocal is the same as that of the original number.


What postive number is its own reciprocal?

1 is the only positive number that is its own reciprocal. -1 is the negative number that is its own reciprocal.


Is the number positive if the power is negative?

It does not work that way. A negative power is simply the reciprocal. So that x-a = 1/xa The reciprocal is negative or positive according to whether the number itself is negative or positive. [And, if the number is 0, the reciprocal is not defined.]


The reciprocal of a positive number is?

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.


Why is dividing by a number the same as multiplying by its reciprocal?

That is the definition of reciprocal.


What is number to a negative power?

This is defined as the reciprocal of the number to the corresponding positive power. For example, according to this definition, 10-3 is the same as 1 / 103.


What is the minimum value of sum of a positive real number and its reciprocal?

This minimum is achieved when the number is 1 (and the reciprocal therefore is also 1).