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
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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❤
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❤
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