Polar form of i to the power25 whole to the power 3
Amar kumar , 8 Years ago
Grade 11
Algebra> Polar form of i to the power25 whole to t...
1 AnswersOmprakash Narenda
Last Activity: 8 Years ago
Whenever the power of i is a multiple of 4, its value is 1.
(i25)3 = (i24 x i)3
= i3
= i2 x i = – i
Now,
- i can also be written in the cartesian form as 0 – i
Now 0 -i can also we be written in the polar form as r(cos
+ isin)
Now,
Taking the modulus of 0 – i which is also equal to r in the graph,
Modulus(Here) = 1
Comparing on both sides,
0 = cos
-1 = sin
Therefore lies in 4th quadrant
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