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If tan ⁡ ( x + y ) × tan ⁡ ( x − y ) = 1 \tan(x + y) \times \tan(x - y) = 1 tan ( x + y ) × tan ( x − y ) = 1 , then find the value of tan ⁡ x \tan x ...

SSC SSC CGL Tier 2 Medium Trigonometric Ratios MCQ

Question

If tan⁡(x+y)×tan⁡(x−y)=1\tan(x + y) \times \tan(x - y) = 1, then find the value of tan⁡x\tan x.

Options

A.

3\sqrt{3}

B.

$1$

C.

123\frac{1}{2\sqrt{3}}

D.

13\frac{1}{\sqrt{3}}

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