Question

tan 30°,tan 45°,tan 60° are in GP ,do you agree with this

Answer 1

Answer:

Yes. These terms  are in G.P.

Step-by-step explanation:

We have  terms tan30° , tam45° , tan60°

tan30° = 1/√3

tan45° = 1

tan60° = √3

(If  a,b,c are  in G.P.

b² = ac)

Here, b = tan45° , a = tan30°, c = tan60°

b² = (tan45°)²

b² = 1²

b² = 1

ac = tan30° × tan60°

ac = 1/√3 × √3

ac = 1

Clearly,

b² = ac

Therefore,

tan30° , tam45° , tan60° are in G.P.