If A-2tan B- B- then 2tan A-B- -

The correct option is C B 2tan(A B)=2tanA tanB/1+tanAtanB #10; #10;Given:tanA=2tanB+cotB #10; #10;2tanA=tanB+tanB+1/tanBtanA tanB=(tan^2B+1)/(tanB ...

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Standard XII

Mathematics

Sin(A+B)Sin(A-B)

If A=2tan B...

Question

If $A = 2 tan B + cot B$ , then $2 tan (A - B) =$ ?

2 tan B

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cot B

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tan B

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2 cot B

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Solution

The correct option is C $cot B$
2tan(A-B)=2{tanA-tanB/1+tanAtanB}

Given:tanA=2tanB+cotB

2tanA=tanB+tanB+1/tanBtanA-tanB={(tan^2B+1)/(tanB)

From 2tanAtanB=2tan^2B+1

Substitute 3 and 4 in 1

You get2tan(A-B)=2

{tan^2B+1)/(tanB)/2tan^2B+2}2tan(A-B)

={(tan^2B+1)/(tanB)/tan^2B+1}2tan(A-B)

=(1/tanB)2tan(A-B)=cotB

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If A=2tanB+cotB, then 2tan(A−B)= ?

If $A = 2 tan B + cot B$ , then $2 tan (A - B) =$ ?