AP EAMCET · Maths · Complex Number
Multiplicative inverse of the complex number is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
We have, z=sinθ+icosθ Multiplicative inverse of z is 1z. Now, 1z=1sinθ+icosθ ⇒1z=1sinθ+icosθ×sinθ-icosθsinθ-icosθ ⇒1z=sinθ-icosθsin2θ+cos2θ ⇒1z=sinθ-icosθ…
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