Mathematics : Trigonometric Functions

If 

(i) 

(ii) 

In any triangle ABC, prove that:

If in any triangle, the angles are to one another as 1:2:3, prove that the corresponding sides are 

If in a   prove that it is either a right angled or an isosceles triangle.

In any  if  are in A.P., prove that cot A, cot B and cot C are also in A.P.

If in triangle ABC,  prove that it is either a right angled or an isosceles triangle.

In any triangle ABC, prove that: 

In any triangle ABC, prove that: 

In any triangle ABC,

 then prove that the triangle is a right angled triangle.

In a triangle ABC, if a:b:c = 4:5:6, find the ratio of the radius of the circumcircle to that of incircle.