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```        if 2tanB + cotB = tanA
then prove that:
tanB = 2tan(A - B)```
7 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear student,

2tanB+cotB=tanA
2tan^2B+1=tanAtanB
tan^2B=tanAtanB-1

All the best.
Win exciting gifts by       answering the questions on Discussion Forum. So help discuss any     query   on askiitians forum and become an Elite Expert League  askiitian.

Sagar Singh
B.Tech, IIT Delhi

2tanB + cotB = tanA
then prove that:
tanB = 2tan(A - B)

All the best.
Win exciting gifts by       answering the questions on Discussion Forum. So help discuss any     query   on askiitians forum and become an Elite Expert League  askiitian.

Sagar Singh
B.Tech, IIT Delhi

```
7 years ago
Nita
11 Points
```										2tan(A-B)=2{tanA-tanB/1+tanAtanB}........1Given:tanA=2tanB+cotB.......2tanA=tanB+tanB+1/tanBtanA-tanB={(tan^2B+1)/(tanB)}.........3From 2tanAtanB=2tan^2B+1.........4Substitute 3 and 4 in 1You 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
```
7 months ago
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