Question

11 ) If tan ( A -B ) :
1
=
V3
and tan (A + B) =V3 then
the value of A and B
respectively
( )​

Answer 1

Step-by-step explanation:

tan(A-B)=1/V3

we know that tan 30 is 1/V3 so A-B =30(equation 1)

similarly tan (A+B)=V3

we know that tan 60 =V3 so A+B=60(equation 2)

substituting the two equations we get

A+B=60

A-B=30

2A  =90

A=45

substituting the value of A in equation 2

A+B=60

45+B=60

B=15

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