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The value of (a+i b)^(m / n)+(a-i b)^(m...

The value of `(a+i b)^(m / n)+(a-i b)^(m / n)` is equal to

A

a.` (a^(2)+b^(2))^(pi / 2) cos ((m)/(n) tan ^(-1) (b/a))`

B

b. `2(a^(2)+b^(2))^(7 / 2) cos ((m)/(n) tan ^(-1) (b/a))`

C

c.`(a^(2)+b^(2))^(7 / alpha) cos ((m)/(n) tan ^(-1) (b/a))`

D

d.`2(a^(2)+b^(2))^(m /(2 n)) cos ((m)/(n) tan ^(-1) (b/a))`

Text Solution

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The correct Answer is:
B
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