Question

If tan(A+B)=√3 and tan(A-B)=1/√3, OS greater than angle A+ B ig equal to B, A and B .find a and b

Answer 1

GIVEN THAT,

tan(A+B)=√3

we know that tan60=√3

thus tan(A+B)=tan60

THERFORE A+B=60-----EQUATION(1)

TAN(A-B)=1/√3


we know that,, TAN30=1/3

thus Tan(A-B)=Tan30

A-B=30--------equation(2)

adding equation 1 and 2

A+B=60
A-B=30
______
2A=90
A=45

PUT A=45 IN EQ (1) OR(2)

A+B=60
45+B=60
B=15.

finall answer : A=45 AND B=15


THANK YOU❤