JEE Main 2024 Mathematics question
Let r and θ respectively be the modulus and amplitude of the complex number , then (r, θ) is equal to
Answer: (D)
Solution
z = 2 − 2i tan(5π/8) = (2/cos(5π/8))(cos(5π/8) − i sin(5π/8)) = 2 sec(5π/. Since sec(5π/8) < 0, write 2
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