Question

Select the correct option from the given alternatives:

The cotangent of the angles `pi/3, pi/4 and pi/6` are in

Options

• A.P.

• G.P.

• H.P.

• Not in progression

Answer 1

G.P.

Explaination:

`cot pi/3 = 1/sqrt(3), cot  pi/4 = 1, cot  pi/6 = sqrt(3)`

∴ `cot  pi/3 cot  pi/6 = 1 = (cot  pi/4)^2`

∴ `cot  pi/3, cot  pi/4, cot  pi/6` are in G.P.