Math, asked by drnishanth520, 1 year ago

tan(a+b)=1 &tan(a-b)=1÷root3) find the values of a and b

Answers

Answered by rekhasurekha80
1

tan(a+b)=1

that is tan(a+b)=tan 45

a+b=45✓

and tan(a-b) =1/root3

tan(a-b)=tan30

a-b=30 ✓

according to substitution method...

a-b=30

a=30+b

put this value in a+b=45

30+b+b=45

30+2b=45

2b=45-30

2b=15

b=15/2

to get value of a ...put value of b in

a=30+b

a=30+15/2

a=60+15/2

a= 75/2

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