Find the value of (cosθ+isinθ)n where θϵR,nϵI,i=√−1
A
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B
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C
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D
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Solution
The correct option is C Given (cosθ+isinθ)n…… (1) We know eiθ=cosθ+isinθ We can replace in equation (1) From equation 1 we get, (eiθ)n =einθ This can be written as (cosnθ+isinnθ)