AAI ATC Junior Executive 25 Mar 2021 Shift 2 Paper

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Question : 62 of 120

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Which of the following is true, if none of the angles x, y and (x + y) is a multiple of π?

$\tan ⁡(x + y) = \;{\tan ⁡x + \tan ⁡y}/{1−\tan ⁡x\tan ⁡y}$
$\tan ⁡(x + y) = \;{1−\tan ⁡x\tan ⁡y}/{\tan ⁡x + \tan ⁡y}$
$\cot ⁡(x + y) = \;{\cot ⁡x\cot ⁡y−1}/{\cot ⁡y + \cot ⁡x}$
$\cot ⁡(x + y) = \;{1−\cot ⁡x\cot ⁡y}/{\cot ⁡y + \cot ⁡x}$

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