Question

A complex trigonometry problem

Answer 1

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A,B and C respectively then value of the expression (a/c)sin2C+(c/a)sin2A is

Answer 2

I got angle B as 60 degrees

Answer 3

\(A + (A+d) + (A+2d) = \pi\)

\(\implies d = \dfrac{\pi}{3} - A\)

that gives :

\(B = \dfrac{\pi}{3} \\ A+C = \dfrac{2\pi}{3}\)

Answer 4

Yeah that's what B is 60 degrees