TS EAMCET · Maths · Complex Number
If then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given, kcosθ+isinθ=2+23i ⇒kcosθ+isinθ=412+i32 ⇒keiθ=4cosπ3+isinπ3 ⇒keiθ=4eiπ3, So k=4 Now, 13ei6θ=13cos6π3+isin6π3 =131+0=13
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