Math, asked by vickymurugan789, 4 days ago

1/i is equal to -i .​

Answers

Answered by ItzSofiya
6

Step-by-step explanation:

By definition, this means that (1/i)=−i. The notation "i raised to the power −1" denotes the element that multiplied by i gives the multiplicative identity: 1.

Answered by monishashkl
1

Answer:

Yes 1/i = -i, take reference of the explanation.

Step-by-step explanation:

If we multiply the iven quantity with i / i

Where i is the imaginary number and it is equals to \sqrt{-1}

i/i =1 basically we are divinding the quantity by itself and 1 be the identity element we can multiply it anywhere we must have the same result

so we can write 1/i ×i/i

This will come out to be \frac{i}{i^{2} }

Now we already knew that i = \sqrt{-1}

so i^{2} = -1

Which means that ultimately it becomes -i

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