Question

if 2tan(A-B)=cotB then the value ofcotB+tanB

Answer 1

Answer:

tan A is the answer .

Step-by-step explanation:

we know ,

tan ( A - B ) = (tan A - tan B) / ( 1 + tanA tanB )

now , using this formula ,

we have ,

2 [ tan A - tan B ] / 1 + tanA tanB = cot B

=> 2 { tan A - tan B } = cot B ( 1 + tan A tan B )

=> 2 tan A - 2tan B = cotB + tan A (tanB × cotB)

=> 2 tan A - 2 tan B = cot B + tan A (1)

=> 2 tan A - tan A = cot B + 2 tan B

=> tan A = cot B + 2 tan B