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If θ − θ + cos i 4 sin i 3 , θ ∈ [0, 2 π ], is a real number, then an argument of sin θ + icos θ is:

1. π – tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 3
2. π – tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 4
3. tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 4
4. –tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 3

Correct answer: π – tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 4

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