Question

9.
If tan (A+B) =v(3), tan( A-B) = 0°<A+<B 590°, A>B, find A and B.​

Answer 1

➪ tan ( A+B) = √3.

tan ( A+B) = tan 60

A+B = 60 degrees ___________ equation 1

➪ tan (A -B) = 1/√3

tan (A-B) = tan 30 degrees

A- B = 30 degrees_____________ equation 2

✩ equation 1 +2

A+B + A- B = 60+30

2A = 90 degrees

A = 45 degrees..✔︎

✩ equation 1-2

A+B- A+ B = 60-30

2B= 30

B = 15 degrees....✔︎