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.
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.]
Yes.
1 is the only positive number that is its own reciprocal. -1 is the negative number that is its own reciprocal.
You multiply the negative number by the reciprocal of the fraction.
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.
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.
The negative reciprocal of any gradient gives the gradient of the line perpendicular to it. If you had a line of gradient 2, the negative reciprocal would be -1/2 Just change the sign on the number and flip the number/fraction to get the negative reciprocal.
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.]
Yes.
1 is the only positive number that is its own reciprocal. -1 is the negative number that is its own reciprocal.
Actually the reciprocal of any number is that number in the denominator instead of in the numerator. The reciprocal of -3 is 1 over -3.
The reciprocal of a number is 1 divide by that number - the reciprocal of -3 is 1/(-3), or -1/3. So, the negative reciprocal of -3 would be 1/3 (without the minus sign).
You multiply the negative number by the reciprocal of the fraction.
Reciprocal is -9 reciprocal of a number is one over the number, in your case 1/-1/9 = -9. To get fraction reciprocal you turn it upside down
A number multiplied with it's reciprocal must be one. So for example if you have -(1/2), than it's reciprocal is -2.
reciprocal of a negative is still a negative, and 2 and a quarter can be rewritten as 9/4. The reciprocal of this number is 4/9. Therefore, the reciprocal of -2 and a quarter is -4/9.