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B=2(A-B)= 2 B+ B is equal to

Question

$cot B = 2 tan (A - B) = ⟩ 2 tan B + cot B$ is equal to

tan A

cot A

2 tan A

2 cot A

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cot B = 2 tan (A - B) = ⟩ 2 tan B + cot B

is equal to

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Text solutionVerified

Given :

co tB = 2 t an (A - B)

[∵ t an (A - B) = \frac{t an A - t an B}{1 + t an A t an B}]

co tB = 2 \cdot \frac{t an A - t an B}{1 + t an A t an B}

co tB + t an A = 2 t an A - 2 t an B

∴ 2 t an B + co tB = 2 t an A - t an A = t an A

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Question Text	$cot B = 2 tan (A - B) = ⟩ 2 tan B + cot B$ is equal to
Answer Type	Text solution:1
Upvotes	153