Question

If A = 60°, B = 30°
Show that tan (A-B ) =
tan A- tan B/
1 + tan A tan B.
​

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If A = 60˚, B = 30˚ verify that tan (A – B) = (tan A – tan B)/(1 + tan A. tan B).

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asked Mar 29, 2019 in Class X Maths by navnit40 (-4,939 points)

If A = 60˚, B = 30˚ verify that tan (A – B) = (tan A – tan B)/(1 + tan A. tan B).

trigonometry

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answered Mar 29, 2019 by navnit40 (-4,939 points)

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.