if tan a + b is equal to root 3 and 10 a minus b is equal to 1 hour 30 greater than a + b root 90 where as a n******
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Step-by-step explanation:GIVEN THAT
tan[A+B]=√3
BUT WE KNOW THAT
TAN 60 DEGREE=√3
THUS
TAN (A+B)= TAN 60 DEGREE
A+B=60 DEGREE..............(1)
TAN [A-B]=1/√3
BUT WE KNOW THAT
TAN 30 DEGREE=1/√3
THUS
TAN (A-B)= TAN 30 DEGREE
A-B= 30 DEGREE...............(2)
OUR EQUATION ARE
A+B=60 DEGREE..............(1)
A-B= 30 DEGREE...............(2)
ADDING (1) AND (2)
A+B+A-B=60 DEGREE+ 30 DEGREE
2A=90 DEGREE
A=90 DEGREE/2
then A=45 DEGREE
PUTTING THE VALE OF A=45 DEGREE IN EQUATION.........(1)
A+B= 60°
45°+B=60°
B=60°-45°
B=15°
HENCE A=45°,B=15°
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