Grade 11Algebra
what is the value:(cos pi/2+isinpi/2)(cospi/2 square+isinpi/2 suqare)(cospi/2 cube+isinpi/2cube)...upto infinity
what is the value:(cos pi/2+isinpi/2)(cospi/2 square+isinpi/2 suqare)(cospi/2 cube+isinpi/2cube)...upto infinity
1 Answer
Arun
Dear Tarun
When you put the de moivre theorem,
You get
cos(
/2 + /2² + /2³+.....) + i sin (/2 + /2² + /2³+.....)
Since bracket is a sum of infinite terms of G.P.
Hence
Sum = (/2)/(1- 1/2) =
Now
The expression becomes as
Cos + i sin
= -1 + 0
= -1
Regards
Arun (askIITians forum expert)
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