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If α = cos –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 5 3 , β = tan –1 , where 0 < α , β < 2 π , then α – β is equal to -

1. tan –1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 10 5 9
2. sin –1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 10 5 9
3. tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 14 9
4. cos –1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 10 5 9

Correct answer: sin –1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 10 5 9

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