1800-150-456-789
FlagBACK
Flag Algebra> Polar form of i to the power25 whole to t...
question mark

Polar form of i to the power25 whole to the power 3

Amar kumar , 7 Years ago
Grade 11
anser 1 Answers
Omprakash Narenda

Last Activity: 7 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\Theta + isin\Theta)
\therefore 0 – i = r(cos\Theta + isin\Theta)
Now,
Taking the modulus of 0 – i which is also equal to r in the graph,
Modulus(Here) = 1
\therefore r = 1
\therefore 0 – i = cos\Theta +isin\Theta
Comparing on both sides,
0 = cos\Theta 
-1 = sin\Theta
Therefore \Theta lies in 4th quadrant
\Rightarrow \Theta = \Pi./2
\therefore Polar form of  0-i = cos \Pi/2 +isin\Pi /2
 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
0 Answer Available

Last Activity: 2 Years ago

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
algebra
1 Answer Available

Last Activity: 2 Years ago