Given the angles of a triangle are in A.P with a common difference equal to the smallest angle. Find the value of cosA X cosB X cosC, where A, B and C are the angles of the triangle.
Let A be the smallest angle,
The other angles will be 2A, 3A.
Sum of angles in a triangle =180∘
The other two angles will be 60∘ and 90∘
So, cosA X cosB X cosC = 0.