Question

if tan (A+B ) = root 3 and tan (A-B) =1/root 3 . 0 B find A and B

Answer 1

Answer:

A = 45

B = 15

Step-by-step explanation:

Tan 60degree = √3

A + B = 60

Tan 30 degree = 1/√3

A - B = 30

Subtracting the 2 equations

2B = 30

B = 15

A = 45

Answer 2

Step-by-step explanation:

$\tan(a + b) = \sqrt{3} \: \: \tan(a - b) = \frac{1}{ \sqrt{3} }$

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

$a - b = \tan( \frac{1}{ \sqrt{3} } )$

A+B=60

A-B =30

2A= 90

A =45

45+B=60

B=60-45

B=15