Question

a + b is equals to root 3 tan a minus b is equals to 1 upon root 3 find a and b ​

Answer 1

If Tan(A+B)=√3

i.e, A+B=60°

If Tan(A-B)=1/√3

i.e, A-B=30°

Hence,

A=45° and B=15°

Answer 2

$\tan(a + b) = \sqrt{3} \\ \tan(a + b ) = \tan(60 {}^{.} ) \\ a + b = 60 {}^{.} .....(i)$

and

$\tan(a - b) = \frac{1}{ \sqrt{3} } \\ a - b = {30}^{.} .....(ii)$

From (i) and (ii)

2a=90°

a=45°

and

b=15°

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