if tan(a+b)=2/3 and tan(a-b)=2/5 then find the value of tan2b.

2 answers

If you want just numerical value, then
a+b=atan(2/3)=33.69°
a-b=atan(2/5)=21.80°
2b=atan(2/3)-atan(2/5)
tan(2b)=tan(atan(2/3)-atan(2/5))
=0.210526
tan(atan(2/3)-atan(2/5))
= (2/3 - 2/5)/(1+(2/3)(2/5))
= 4/19
= 0.21
as above
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