Question

A = 60 B= 30
The question says : prove that
Tan( A - B ) = Tan A - Tan B\1+ tan A x tan B

Answer 1

Answer:

It is given that A = 60˚, B = 30˚. Putting A = 60˚ and B = 30˚ in the given equation, we get

tan (A – B) = (tan A – tan B)/(1 + tan A.tan B)

⇒ tan (60˚ – 30˚) = (tan60˚ – tan 30˚)/(1 + tan 60˚. tan 30˚)

⇒ tan 30˚ = (√3 – 1/√3)/1 + √3 × 1/√3

⇒ 1/√3 = 2√3/2

⇒1/√3 = 1/√3

⇒ L.H.S = R.H.S.

Answer 2

Answer:

A=60,B=30

tan(60-30)=tan60-tan30/1+tan60*tan30

tan30=(√3-(1/√3))/(1+√3*(1/√3))

1/√3 =((3-1)/√3)/(1+1)

1/√3 =(2/√3)/2

1/√3 =1/√3

therefore,hence proved