Question
If , then ?
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Text solutionVerified
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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Question Text | If , then ? |
Answer Type | Text solution:1 |
Upvotes | 152 |