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Let r and θ respectively be the modulus and amplitude of the complex number z = 2 – i ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 8 5 tan 2 , then (r, θ ) is equal to

1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π π 8 5 , 8 3 sec 2
2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π π 8 3 , 8 5 sec 2
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π π 8 11 , 8 11 sec 2
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π π 8 3 , 8 3 sec 2

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π π 8 3 , 8 3 sec 2

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